148:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Factorización y fracciones algebraicas:@0.073089:0.043661:0.408833:0.043661:0.408833:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si al numerador se le suma 1 y al denominador se le suma 5 se obtiene 1/2. Es decir::@0.293660:0.136836:0.900153:0.136836:0.900153:0.120402:0.293660:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.575505:0.158946:0.582960:0.158946:0.582960:0.142540:0.575505:0.142540:0.000000 1:@0.582887:0.158391:0.598220:0.158391:0.598220:0.144676:0.582887:0.144676:0.000000 1:@0.598128:0.158946:0.607111:0.158946:0.607111:0.142512:0.598128:0.142512:0.000000 x:@0.563430:0.172925:0.570885:0.172925:0.570885:0.156519:0.563430:0.156519:0.000000 1 1:@0.570811:0.172370:0.610295:0.172370:0.610295:0.158655:0.570811:0.158655:0.000000:0.000000:0.000000 2 5:@0.586053:0.172925:0.619186:0.172925:0.619186:0.156491:0.586053:0.156491:0.000000:0.000000:0.000000 :@0.622057:0.165062:0.645287:0.165062:0.645287:0.148628:0.622057:0.148628:0.000000:0.000000:0.000000 5:@0.626015:0.164507:0.641348:0.164507:0.641348:0.150791:0.626015:0.150791:0.000000 1:@0.647578:0.158946:0.656561:0.158946:0.656561:0.142512:0.647578:0.142512:0.000000 2:@0.647578:0.172925:0.656561:0.172925:0.656561:0.156491:0.647578:0.156491:0.000000 x:@0.574709:0.190738:0.582164:0.190738:0.582164:0.174332:0.574709:0.174332:0.000000 1:@0.582090:0.190183:0.597423:0.190183:0.597423:0.176468:0.582090:0.176468:0.000000 1:@0.597331:0.190738:0.606314:0.190738:0.606314:0.174304:0.597331:0.174304:0.000000 x:@0.574709:0.204717:0.582164:0.204717:0.582164:0.188311:0.574709:0.188311:0.000000 1:@0.582090:0.204163:0.597423:0.204163:0.597423:0.190447:0.582090:0.190447:0.000000 7:@0.597331:0.204717:0.606314:0.204717:0.606314:0.188283:0.597331:0.188283:0.000000 :@0.610198:0.196854:0.633428:0.196854:0.633428:0.180420:0.610198:0.180420:0.000000:0.000000:0.000000 5:@0.614156:0.196299:0.629489:0.196299:0.629489:0.182584:0.614156:0.182584:0.000000 1:@0.635719:0.190738:0.644702:0.190738:0.644702:0.174304:0.635719:0.174304:0.000000 2:@0.635719:0.204717:0.644702:0.204717:0.644702:0.188283:0.635719:0.188283:0.000000 Al multiplicar a lado y lado por 2(:@0.293657:0.220638:0.532068:0.220638:0.532068:0.204204:0.293657:0.204204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.531755:0.220638:0.542449:0.220638:0.542449:0.204232:0.531755:0.204232:0.000000:0.000000 1 :@0.542394:0.220083:0.562237:0.220083:0.562237:0.206368:0.542394:0.206368:0.000000:0.000000 7), obtenemos::@0.562145:0.220638:0.670464:0.220638:0.670464:0.204204:0.562145:0.204204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.517576:0.242746:0.525031:0.242746:0.525031:0.226340:0.517576:0.226340:0.000000 1:@0.524957:0.242192:0.540291:0.242192:0.540291:0.228476:0.524957:0.228476:0.000000 1:@0.540199:0.242746:0.549181:0.242746:0.549181:0.226313:0.540199:0.226313:0.000000 x:@0.517576:0.256726:0.525031:0.256726:0.525031:0.240319:0.517576:0.240319:0.000000 1:@0.524957:0.256171:0.540291:0.256171:0.540291:0.242455:0.524957:0.242455:0.000000 7:@0.540199:0.256726:0.549181:0.256726:0.549181:0.240292:0.540199:0.240292:0.000000 2(:@0.554409:0.248862:0.572154:0.248862:0.572154:0.232428:0.554409:0.232428:0.000000:0.000000:0.000000 x:@0.572061:0.248862:0.579516:0.248862:0.579516:0.232456:0.572061:0.232456:0.000000 1 5:@0.579443:0.248308:0.627670:0.248308:0.627670:0.234592:0.579443:0.234592:0.000000:0.000000:0.000000 7) 2( 7):@0.594684:0.248862:0.708305:0.248862:0.708305:0.232428:0.594684:0.232428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.633903:0.242746:0.642886:0.242746:0.642886:0.226313:0.633903:0.226313:0.000000 2:@0.633903:0.256726:0.642886:0.256726:0.642886:0.240292:0.633903:0.240292:0.000000 x:@0.663981:0.248862:0.671436:0.248862:0.671436:0.232456:0.663981:0.232456:0.000000 1:@0.675319:0.248308:0.690653:0.248308:0.690653:0.234592:0.675319:0.234592:0.000000 2(:@0.545898:0.272646:0.559685:0.272646:0.559685:0.256212:0.545898:0.256212:0.000000:0.000000 x :@0.559593:0.272646:0.588787:0.272646:0.588787:0.256240:0.559593:0.256240:0.000000:0.000000:0.000000:0.000000 1:@0.570232:0.272091:0.585566:0.272091:0.585566:0.258376:0.570232:0.258376:0.000000 1) ( 7):@0.588713:0.272646:0.674675:0.272646:0.674675:0.256212:0.588713:0.256212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.606366:0.272091:0.621699:0.272091:0.621699:0.258376:0.606366:0.258376:0.000000 x:@0.630351:0.272646:0.637805:0.272646:0.637805:0.256240:0.630351:0.256240:0.000000 1:@0.641689:0.272091:0.657023:0.272091:0.657023:0.258376:0.641689:0.258376:0.000000 2 2 7:@0.554770:0.296430:0.665785:0.296430:0.665785:0.279996:0.554770:0.279996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.563679:0.296430:0.571134:0.296430:0.571134:0.280024:0.563679:0.280024:0.000000 1 5 1:@0.575018:0.295875:0.652936:0.295875:0.652936:0.282160:0.575018:0.282160:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.626264:0.296430:0.633719:0.296430:0.633719:0.280024:0.626264:0.280024:0.000000 Restando y 2 en cada lado de la ecuación, tenemos::@0.293663:0.320214:0.679012:0.320214:0.679012:0.303780:0.293663:0.303780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.365875:0.320214:0.373330:0.320214:0.373330:0.303808:0.365875:0.303808:0.000000 2 2 2 7 2:@0.492223:0.343998:0.728406:0.343998:0.728406:0.327564:0.492223:0.327564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.501132:0.343998:0.508587:0.343998:0.508587:0.327592:0.501132:0.327592:0.000000 1 2 2 5 1 2 2:@0.512470:0.343443:0.715558:0.343443:0.715558:0.329728:0.512470:0.329728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.563716:0.343998:0.571171:0.343998:0.571171:0.327592:0.563716:0.327592:0.000000 x:@0.626301:0.343998:0.633756:0.343998:0.633756:0.327592:0.626301:0.327592:0.000000 x:@0.688886:0.343998:0.696341:0.343998:0.696341:0.327592:0.688886:0.327592:0.000000 x:@0.590572:0.367782:0.598027:0.367782:0.598027:0.351376:0.590572:0.351376:0.000000 5:@0.597954:0.367782:0.630093:0.367782:0.630093:0.351348:0.597954:0.351348:0.000000:0.000000:0.000000:0.000000 5:@0.601911:0.367227:0.617245:0.367227:0.617245:0.353512:0.601911:0.353512:0.000000 Luego, el numerador es 5. El denominador es 2, es decir 5 2 7:@0.293700:0.391566:0.834064:0.391566:0.834064:0.375132:0.293700:0.375132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.468569:0.391566:0.476024:0.391566:0.476024:0.375160:0.468569:0.375160:0.000000 5:@0.479908:0.391011:0.495241:0.391011:0.495241:0.377296:0.479908:0.377296:0.000000 x:@0.654924:0.391566:0.662379:0.391566:0.662379:0.375160:0.654924:0.375160:0.000000 1:@0.666263:0.391011:0.681596:0.391011:0.681596:0.377296:0.666263:0.377296:0.000000 1 5:@0.773835:0.391011:0.821215:0.391011:0.821215:0.377296:0.773835:0.377296:0.000000:0.000000:0.000000 Luego, la respuesta es: :@0.293700:0.419788:0.459472:0.419788:0.459472:0.403354:0.293700:0.403354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.461584:0.413701:0.470567:0.413701:0.470567:0.397267:0.461584:0.397267:0.000000 7:@0.461584:0.427680:0.470567:0.427680:0.470567:0.411246:0.461584:0.411246:0.000000 Se valida la respuesta: el denominador es dos unidades mayor que el numerador. :@0.293655:0.443601:0.883976:0.443601:0.883976:0.427167:0.293655:0.427167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si al numerador se le suma 1 y al denominador se le suma 5, obtenemos::@0.293655:0.467385:0.820408:0.467385:0.820408:0.450951:0.293655:0.450951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 1:@0.553244:0.489498:0.586377:0.489498:0.586377:0.473064:0.553244:0.473064:0.000000:0.000000:0.000000 1:@0.562153:0.488943:0.577487:0.488943:0.577487:0.475228:0.562153:0.475228:0.000000 7 5:@0.551072:0.503477:0.584205:0.503477:0.584205:0.487043:0.551072:0.487043:0.000000:0.000000:0.000000 1:@0.559981:0.502923:0.575315:0.502923:0.575315:0.489207:0.559981:0.489207:0.000000 :@0.590850:0.495614:0.614080:0.495614:0.614080:0.479180:0.590850:0.479180:0.000000:0.000000:0.000000 5:@0.594808:0.495059:0.610141:0.495059:0.610141:0.481344:0.594808:0.481344:0.000000 6:@0.621435:0.489498:0.630417:0.489498:0.630417:0.473064:0.621435:0.473064:0.000000 12:@0.616980:0.503477:0.634872:0.503477:0.634872:0.487043:0.616980:0.487043:0.000000:0.000000 5:@0.637799:0.495059:0.653132:0.495059:0.653132:0.481344:0.637799:0.481344:0.000000 :@0.653040:0.495614:0.657071:0.495614:0.657071:0.479180:0.653040:0.479180:0.000000 1:@0.659359:0.489498:0.668341:0.489498:0.668341:0.473064:0.659359:0.473064:0.000000 2:@0.659359:0.503477:0.668341:0.503477:0.668341:0.487043:0.659359:0.487043:0.000000 Ejemplo 3:@0.293662:0.519398:0.369444:0.519398:0.369444:0.502728:0.293662:0.502728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Manuel puede pintar una pared en cuatro horas. Ricardo puede pintar una pared similar :@0.293662:0.543182:0.931385:0.543182:0.931385:0.526748:0.293662:0.526748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en seis horas. Trabajando juntos, ¿en cuánto tiempo podrían pintar la pared?:@0.293662:0.559824:0.844948:0.559824:0.844948:0.543390:0.293662:0.543390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sea el número de horas que requieren los dos para pintar la pared. Como Manuel pinta :@0.293662:0.583608:0.930551:0.583608:0.930551:0.567174:0.293662:0.567174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.322856:0.583608:0.330311:0.583608:0.330311:0.567202:0.322856:0.567202:0.000000 la pared en cuatro horas, en una hora pinta de la pared y en horas pinta :@0.293662:0.605575:0.863147:0.605582:0.863147:0.589149:0.293662:0.589141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.621791:0.598579:0.630774:0.598579:0.630774:0.582145:0.621791:0.582145:0.000000 4:@0.621791:0.612558:0.630774:0.612558:0.630774:0.596124:0.621791:0.596124:0.000000 x:@0.763674:0.605582:0.771129:0.605582:0.771129:0.589176:0.763674:0.589176:0.000000 1:@0.866194:0.598579:0.875177:0.598579:0.875177:0.582145:0.866194:0.582145:0.000000 4:@0.866194:0.612558:0.875177:0.612558:0.875177:0.596124:0.866194:0.596124:0.000000 x:@0.878748:0.605582:0.886203:0.605582:0.886203:0.589176:0.878748:0.589176:0.000000 de la :@0.886240:0.605582:0.930933:0.605582:0.930933:0.589149:0.886240:0.589149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pared. Como Manuel pinta la pared en seis horas, en una hora pinta de la pared y en :@0.293655:0.626648:0.930931:0.626660:0.930931:0.610226:0.293655:0.610214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.785146:0.620544:0.794128:0.620544:0.794128:0.604110:0.785146:0.604110:0.000000 6:@0.785146:0.634523:0.794128:0.634523:0.794128:0.618089:0.785146:0.618089:0.000000 x:@0.919445:0.626660:0.926900:0.626660:0.926900:0.610254:0.919445:0.610254:0.000000 horas pinta de la pared. Al sumar las partes de cada uno, se completará la tarea. Es :@0.293653:0.647725:0.930840:0.647732:0.930840:0.631298:0.293653:0.631292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.382791:0.641616:0.391774:0.641616:0.391774:0.625182:0.382791:0.625182:0.000000 6:@0.382791:0.655595:0.391774:0.655595:0.391774:0.639161:0.382791:0.639161:0.000000 x:@0.399671:0.647732:0.407126:0.647732:0.407126:0.631326:0.399671:0.631326:0.000000 decir::@0.293645:0.664374:0.333232:0.664374:0.333232:0.647940:0.293645:0.647940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.558879:0.686476:0.567861:0.686476:0.567861:0.670042:0.558879:0.670042:0.000000 4:@0.558879:0.700455:0.567861:0.700455:0.567861:0.684021:0.558879:0.684021:0.000000 1:@0.571303:0.692592:0.664069:0.692592:0.664069:0.676158:0.571303:0.676158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.575261:0.692592:0.582716:0.692592:0.582716:0.676185:0.575261:0.676185:0.000000 1:@0.586600:0.692037:0.601933:0.692037:0.601933:0.678321:0.586600:0.678321:0.000000 1:@0.608166:0.686476:0.617149:0.686476:0.617149:0.670042:0.608166:0.670042:0.000000 6:@0.608166:0.700455:0.617149:0.700455:0.617149:0.684021:0.608166:0.684021:0.000000 x:@0.624549:0.692592:0.632004:0.692592:0.632004:0.676185:0.624549:0.676185:0.000000 5:@0.635888:0.692037:0.651221:0.692037:0.651221:0.678321:0.635888:0.678321:0.000000 Multiplicando los términos de la ecuación por 24, obtenemos::@0.293660:0.716375:0.742291:0.716375:0.742291:0.699942:0.293660:0.699942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.515806:0.734910:0.524788:0.734910:0.524788:0.718476:0.515806:0.718476:0.000000 4:@0.515806:0.748889:0.524788:0.748889:0.524788:0.732455:0.515806:0.732455:0.000000 (24) (24) 1(24):@0.528230:0.741026:0.707162:0.741026:0.707162:0.724592:0.528230:0.724592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.536127:0.741026:0.543582:0.741026:0.543582:0.724620:0.536127:0.724620:0.000000 1:@0.574856:0.740471:0.590189:0.740471:0.590189:0.726755:0.574856:0.726755:0.000000 1:@0.596443:0.734910:0.605425:0.734910:0.605425:0.718476:0.596443:0.718476:0.000000 6:@0.596443:0.748889:0.605425:0.748889:0.605425:0.732455:0.596443:0.732455:0.000000 x:@0.612825:0.741026:0.620280:0.741026:0.620280:0.724620:0.612825:0.724620:0.000000 5:@0.651554:0.740471:0.666887:0.740471:0.666887:0.726755:0.651554:0.726755:0.000000 6 4 24:@0.561892:0.761245:0.658659:0.761245:0.658659:0.744812:0.561892:0.744812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.570801:0.761245:0.578256:0.761245:0.578256:0.744839:0.570801:0.744839:0.000000 1:@0.582140:0.760691:0.597474:0.760691:0.597474:0.746975:0.582140:0.746975:0.000000 x:@0.610230:0.761245:0.617685:0.761245:0.617685:0.744839:0.610230:0.744839:0.000000 5:@0.621569:0.760691:0.636902:0.760691:0.636902:0.746975:0.621569:0.746975:0.000000 10:@0.577520:0.781465:0.595412:0.781465:0.595412:0.765031:0.577520:0.765031:0.000000:0.000000 x :@0.595320:0.781465:0.606014:0.781465:0.606014:0.765059:0.595320:0.765059:0.000000:0.000000 5:@0.605959:0.780911:0.621293:0.780911:0.621293:0.767195:0.605959:0.767195:0.000000 24:@0.621200:0.781465:0.643050:0.781465:0.643050:0.765031:0.621200:0.765031:0.000000:0.000000:0.000000 Dividiendo entre 10 a lado y lado, obtenemos 2,4:@0.293643:0.801685:0.679257:0.801685:0.679257:0.785251:0.293643:0.785251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.627698:0.801685:0.635153:0.801685:0.635153:0.785279:0.627698:0.785279:0.000000 5:@0.639037:0.801130:0.654370:0.801130:0.654370:0.787415:0.639037:0.787415:0.000000 Es decir que entre los dos completan la tarea en 2,4 horas. Es decir, 2 horas 24 minutos.:@0.293643:0.821905:0.919446:0.821905:0.919446:0.805471:0.293643:0.805471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 4:@0.293643:0.845689:0.369426:0.845689:0.369426:0.829019:0.293643:0.829019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Un bote que viaja a favor de la corriente recorre 240 Km en el mismo tiempo que emplea :@0.293643:0.869473:0.931129:0.869473:0.931129:0.853039:0.293643:0.853039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en recorrer 120 Km en contra de la corriente. Si la velocidad de la corriente es 10 Km/h, :@0.293643:0.886115:0.931254:0.886115:0.931254:0.869681:0.293643:0.869681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿cuál es la velocidad del bote en aguas tranquilas? :@0.293643:0.902756:0.661332:0.902756:0.661332:0.886323:0.293643:0.886323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sea la velocidad del bote en aguas tranquilas.:@0.293643:0.926540:0.633787:0.926540:0.633787:0.910107:0.293643:0.910107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.323261:0.926540:0.330716:0.926540:0.330716:0.910134:0.323261:0.910134:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000