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Question

If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is:


  1. 2:1

  2. 3:2

  3. 1:2

  4. 3:1

  5. 5:4


Solution

The correct option is A

2:1


Let 1 man’s 1 day’s work = x and 1 boy’s 1 day’s work = y

Then, 12x+16y=15 and 13x+24y=14

Solving these two equations, we get : x = 1100 and y = 1200

Required ratio = x:y = 1100: 1200 = 2:1

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