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.