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12 women alone can complete a piece of work in 5 days. whereas 3 women and 9 children together can complete the same piece of work in 10 days. In how many days can 36 children complete the same piece of work ?

A) 10 days
B) 2 days
C) 5 days
D) 8 days
E) None of these

Correct Answer:



C) 5 days

Description for Correct answer:
12 women can do a piece of work in 5 days.

1 woman can do a piece of work in 12 x 5 = 60 days

1 woman's one day's work = \( \Large \frac{1}{60} \)

Let a child can do a same piece of work in x days.

1 Child's one day's work = \( \Large \frac{1}{x} \)

According to question,

\( \Large \frac{3}{60} \) + \( \Large \frac{9}{x} \) = \( \Large \frac{1}{10} \) => x = 180days

Thus, 36 children complete the same piece of work in \( \Large \frac{180}{36} \) = 5 days

Part of solved SBI JuniorAssociate-3 questions and answers : Exams >> Bank Exams >> SBI JuniorAssociate-3

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