# 9 children can complete a task in 360 days. 18 men can complete the same task in 72 days and 12 women can complete a task in 162 days. In how many day

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9 children can complete a task in 360 days. 18 men can complete the same task in 72 days and 12 women can complete a task in 162 days. In how many days 4 men, 12 women , 10 children can complete the task?
1. 124
2. 81
3. 68
4. 96
5. None of these

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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