# How Long Will 8 Men and 16 Women Take to Finish The Work?

If 12 men or 18 women can do a piece of work in 14 days, How long will 8 men and 16 women take to finish the work?

- 9 days
- 12 days
- 13 days
- 10 days

**Answer: (1) 9 days**

**Explanation:-**

18 women = 12 men

1 woman = 12/18 men = 2/3 men

Formula-

M1 D1 = M2 D2

Where, M = numbers of men & D = number of days

Here, M1 = 12 men, M2 = 8 men + 16 x 2/3 = 32/3 + 8 = 56/3 , D1 = 14 days & D2 = ?

Then, 12 x 14 = 56/3 x ?

? = 12 x 14 x 3/56

? = 3 x 3 = 9 days

Hence the answer is (1) 9 days.