Correct Answer - Option 2 : 5 days
Given:
10 men can finish a work = 10 days
12 women can finish a work = 10 days
Calculation:
10 men can finish a work = (10 × 10) = 100 days
10 women can finish a work = (12 × 10) = 120 days
1 day work of men = 1/100 days
15 men do a work = 15/100 days
⇒ 3/20 days
1 day work of women = 1/120 days
6 women do a work = 6/120 days
⇒ 1/20 days
So, 15 men and 6 women can do a work together = (3/20 + 1/20)
⇒ 4/20
⇒ 1/5
∴ They will complete the task in 5 days