Multiple choice

4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can complete the same work in 10 days, to complete the work in 7 days, how many women should assist 4 men?

  1. 11

  2. 14

  3. 15

  4. 13

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let m and w be work done by 1 man and 1 woman per day. From given: 4m + 5w = 1/15 and 9m + 6w = 1/10. Solving gives w = 2m. For 4 men and x women to finish in 7 days: 4m + x(2m) = 1/7. Substituting m = 1/210 gives x = 13 women.