Multiple choice

If 3 men and 5 boys can do as much in 17 days as 5 men and 3 boys can do in 15 days, compare the rates of working of a man and a boy.

  1. 2:5

  2. 3:5

  3. 5:3

  4. 5:2

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

Set up the equation: 17(3m+5b) = 15(5m+3b). This gives 51m+85b = 75m+45b. Simplifying: 40b = 24m, so m/b = 40/24 = 5/3. The ratio of a man's rate to a boy's rate is 5:3. Option C is correct.