# How Long will it Take to Finish the Work? If

3 men can do a piece of work in 6 days, 5 women can do the same work in 18 days. If 4 men and 10 women work together, then how long will it take to finish the work?

- 3 days
- 5 days
- 2 days
- 4 days

**Answer: (1) 3 days**

**Explanation:-**

3 men can do a piece of work = 6 days

Then, 1 man can do work in a day = /3 x 6

= 1/ 18

Therefore, 4 men can do the same work = 4/18

= 2/9

5 women can do the same work = 18 days

Then, 1 woman can do same work in a day = 1 /18 x 5

= 1 / 90

10 women can do the work = 10/ 90

= 1/9

4 men and 10 women work together in day = 2/ 9 + 1/ 9

= 3 / 9

= 1/3

Then, 4 men and 10 women work together can finish the work = 3 days

Hence, the answer is (1) 3 days.