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LUCKY_DIMON [66]
3 years ago
5

Dos agricultores, padre e hijo, tardan 2 horas entre los dos arar un campo. Si solo el padre tarda 6 horas. ¿Cuanto tardara el h

ijo?
Mathematics
1 answer:
OLEGan [10]3 years ago
8 0

Answer:

El hijo solo tardará 3 horas en arar el campo

Step-by-step explanation:

Aquí, se nos dice que ambos pasan dos horas para arar el campo mientras que el padre solo pasa 6 horas.

Queremos saber el tiempo que pasará el hijo si va a trabajar solo

Sea el área del campo x

La tasa de trabajo de ambos es x / 2

La tasa de trabajo del padre será x / 6 Deja que el tiempo que pasa el hijo sea y La tasa de trabajo del hijo es x / y

Sumando la tasa de trabajo del padre a la del hijo da la tasa de trabajo total de ambos Por lo tanto;

x / 6 + x / y = x / 2

Despegar x 1/6 + 1 /y = 1/2

1 / y = 1/2 - 1/6

1 / y= 1/3

entonces y = 3

El hijo solo tardará 3 horas en arar el campo.

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