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Para hacer 600 m de una obra, 30 obreros han trabajado 12 dias a razon de 10 horas diarias. ¿Cuantos dias necesitaran 36 obreros para hacer 900 m de la obra trabajando 6 horas diarias?

Sagot :

Fichohidn

Respuesta:

25 días

Explicación paso a paso:

Dado :

escenario 1

Área = 600 m

Número de días = 12

Número de trabajadores = 30

Tasa = 6

Escenario 2:

Área = 900 m

Número de días = n

Número de trabajadores = 36

Tasa = 6

Igualar los parámetros en cada escenario:

12 / n = 36/30 * 6/10 * 600/900

12 / n = 6/5 * 3/5 * 2/3

12 / n = 6/5 * 1/5 * 2/1

12 / n = 12/25

12 * 25 = 12n

300 = 12n

n = 300/12

n = 25 días

Abidemiokinidn

The number of days that 36 workers need at the given rate is 25 days

From the given question, we have 2 scenarios

First case:

  • Distance worked = 600m
  • Number of workers = 30 workers
  • Days of wors = 12 days
  • Rate per day = 10 hours per day

Second case:

  • Distance worked = 900m
  • Number of workers = 36 workers
  • Days of wors = n days
  • Rate per day = 6 hours per day

Taking the ratios of the distance worked, the number of workers, and rate will give:

12/n = 36/30 * 6/10 * 600/900  

12/n = 129600/270000

Cross multiply;

129600n = 12 * 270000

129600n = 3240000

n = 3240000/129600

n = 25

Hence the number of days that 36 workers need at the given rate is 25 days

Learn more on rate here: https://brainly.com/question/24482367

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