Correct Answer - Option 2 : 81
Calculation:
Given that,
9 children can do in 360 days
⇒ 1 child = 9 × 360 ⇒ 3240
18 men can do in 72 days
⇒ 1 man = 18 × 72 ⇒ 1296
12 women in 162 days
⇒ 1 woman = 12 × 162 ⇒ 1944
∴ 5 children = 2men = 3 women
∵ 1 child = 1296 ÷ 3240 men
⇒ 2men = 5 children
10 children = 4 men ,
12 women = 8 men
Now,
10 children + 12 women + 4 men
4men + 8 men + 4 men = 16 men
16 men complete in =\(\frac{18 \times 72}{16}\)
⇒ 81 days
∴ Number of days worked is 81days