# If I man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1woman and 1 boy in -

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If I man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1woman and 1 boy in -

1. 21 days
2. 24 days
3. 26 days
4. 25 days

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Correct Answer - Option 2 : 24 days

Given:

If I man(M) or 2 women(W) or 3 boys(B) can do a piece of work in 44 days

Formula used:

Men × Days = Total work

Calculation:

According to the question,

⇒ 1M × 44 = 2W × 44 = 3B × 44

⇒ 1M = 2W = 3B

Efficiency of M, W and B

1M = 2W

⇒ M/W = 2/1

2W = 3B

⇒ W/B = 3/2

Ratio of M : W : B

⇒ M : W = 2 : 1      ----(1)

⇒ W : B = 3 : 2

W is same in both, then multiply by 3 in equation (1)

⇒ M : W : B = 6 : 3 : 2

Total work

⇒ 1Men × 44 = 1 × 6 × 44

⇒ 264 unit

The same piece of work will be done by 1 man, 1woman and 1 boy in

⇒ Time = total work/(M + W + B)

⇒ 264/(6 + 3 + 2)

⇒ 24 days

∴ The same piece of work will be done by 1 man, 1woman and 1 boy in 24 days.