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Ilya [14]
3 years ago
6

Patrice, por sí solo, puede pintar cuatro cuartos en 10 horas. Si contrata a April para que le ayude, pueden hacer el mismo trab

ajo en 6 horas. ¿Cuánto tiempo le tomará a April pintar cuatro cuartos si trabaja sola?
Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

15 horas

Step-by-step explanation:

Representemos:

El número de horas que Patrice puede pintar solo = P = 10 horas

El número de horas que April puede pintar por su cuenta = A = X horas

El número total de horas que pueden trabajar juntos para hacer el mismo trabajo = T = 6

Por tanto, nuestra fórmula es:

1 / P + 1 / A = 1 / T

1/10 + 1 / A = 1/6

1 / A = 1/6 -1/10

Denominador común más bajo = 30

1 / A = 5 - 3/30

1 / A = 2/30

1 / A = 1/15

Multiplicar cruzada

A × 1 = 15 × 1

A = 15 horas

Por lo tanto, la cantidad de horas que April puede pintar cuatro habitaciones si trabaja sola es de 15 horas.

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