Multiple choice

If 12 men and 16 boys can do a piece of work in 20 days while 52 men and 96 boys can do the same work in 4 days, the time taken by 15 men and 20 boys in doing the same type of work will be?

  1. 12

  2. 14

  3. 15

  4. 16

  5. None of these

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

Set up equations: Let m and b be work done by one man and one boy per day. From (12m + 16b) × 20 = (52m + 96b) × 4, we get m = 2b. Total work = 800b. For 15 men + 20 boys = 50b, days = 800b ÷ 50b = 16 days. The key is finding the relationship between men's and boys' work capacity.