# How Long will Take to Finish The Work ?

6 men or 10 women can do a piece of work in 24 days. How long will 12 men and 10 women take to finish the work ?

- 8 days
- 7 days
- 17 days
- 5 days

**Answer: (1) 8 days**

**Explanation:-**

6 men = 10 woman

then, 1 man = 10/6 woman

1 man = 5/3 woman.

Formula-

M 1 D 1 = M 2 D 2

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

M 1 = 10 women , D 1 = 24 days, M 2 = 12 men and 10 women & D 2= ?

Then, 10 x 24 = (10 + 5 x 12/3) x D 2

240 = (10 + 20) x D 2

240 = 30 x D 2

D 2 = 240/30

D 2 = 8 days

Hence, the answer is (1) 8 days.