Four men can do a work in 10 days and 5 women can do the same work in 12 days. How many women must work with 3 men to do the same work in 8 days?

3

4 men do a work in time = 10 days

4 men 1 day work = 1/10

1 men 1 day work = 1/40

5 women do a work in time = 12 days

5 women 1 day work = 1/12

1 women 1 day work = 1/60

Assume x women are required to complete the work with 3 men in 8 days.

x women and 3 men one day work = 1/8

3/40 + x/60 = 1/8

(9+2x)/120 = 1/8

9+2x = 15

x = 3

The correct answer is Option (2) → 3