# In how many days can the same work be done

If 8 men or 12 women can do a piece of work in 25 days. In how many days can the same work be done by 6 men and 11 women?

- 10 days
- 12 days
- 15 days
- None of these

**Answer: (3) 15 days**

**Explanation:-**

8 men can do a piece of work = 25 days

Therefore, 1 man con do a piece of a work = 25 x 8

= 200 days

Then, 6 men can do a piece of work = 200/6

Therefore, 6 men can do a piece of work in a day = 6/200

12 women can do a piece of work = 25 days

Therefore, 1 woman can do a piece of work = 25 x 12

Then, 11 women can do a piece of work = 25 x 12/11

Therefore, 11 women can do a piece of work in a day = 11/300

Then, 6 men and 11 women can do together work = 6/200 + 11/300

= (18 + 22)/600

= 40/600

= 4/60

= 1/15

So, 6 men and 11 women can do together work in 15 days.

Hence, the correct answer is option (3) 15 days.