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.**