Multiple choice

If 5 men and 3 women can complete a work in 15 days whereas 15 men and 9 women can complete this work in 5 days. Find in how many days 10 men and 6 women can complete this work?

  1. 10

  2. 7.5

  3. 8

  4. 9

  5. Cannot be determined

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

Work equations: 75m + 45w = 75m + 45w gives 75m + 45w = 75m + 45w, which is consistent. This means 5m + 3w has same efficiency as 15m + 9w. Let m = -3w/5. Substituting in (10m + 6w)D = 75m + 45w gives D = 7.5 days.