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A man is thrice as efficient as a woman and a boy is twice as efficient as a woman. If three women, four boys, and a man can complete a piece of work in 3 days, then in how many days a boy will do the same work?
1. 18 days
2. 16 days
3. 21 days
4. 22 days

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Correct Answer - Option 3 : 21 days

GIVEN:

Man's efficiency = 3 × women's efficiency

Boy's efficiency = 2 × women's efficiency

(3 women + 4 boys + 1 man)'s time = 3 days

FORMULA USED:

Work = Efficiency × time

CALCULATION:

Let the efficiency of a woman be 1 unit/day.

∴ Man's efficiency = 3 unit/day

Boy's efficiency = 2 unit/day

A.T.Q

Total work = (1 × 3 + 4 × 2 + 1 × 3) × 3 = 42 unit

Boy's time = 42/2 = 21 days

∴ A boy will take 21 days.

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