2017 · Q30
If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women is
Elementary MathematicsTime and Work
- A7 1/2 days
- B8 days
- C9 1/2 days
- D12 days
Explanation
5 men × 10 days = 50 man-days; 12 women × 15 days = 180 woman-days. One day of 5 men + 6 women = 5/50 + 6/180 = 1/10 + 1/30 = 2/15 of the work, so 15/2 = 7½ days are needed: option A.