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Five men finish a work in 28 days working 3 hours a day. The same work has to be completed by 10 boys such that the efficiency of a boy is double than the efficiency of a man. If the ten boys work for 7 hours in a day, how many days will they take to finish the same amount of work?
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Correct Answer - Option 2 : 3

Given:

Five men finish work in 28 days working 3 hours a day.

The same work has to be completed by 10 boys such that the efficiency of a boy is double than the efficiency of a man.

Boys work for 7 hours a day.

Formula used:

1.) MDH/W is constant.

2.) M1 × D1 × H1/W1 = M2 × D2 × H2/W2

Where,

M → The number of men

H → The number of hours

D → The number of days

W → The amount of work

Calculation:

The efficiency of a boy is double than the efficiency of a man.

10 boys = (10 × 2) men = 20 men

Work done by 5 men = 5 × 28 × 3

Work by 10 boys = work by 20 men

Comparing the work done by 5 men and 10 boys,

Let them work for d days.

⇒ 5 × 28 × 3 = 20 × 7 × d

⇒ d = 3 days

∴ 10 boys can finish the work in 3 days.

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