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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
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- 2 : 1
- 3 : 1
- 1 : 3
- 5 : 4
Correct Option: A
Work done by 12 men + 16 boys in 5 days
≡ Work done 13 men + 24 boys in 4 days
→ (60 men + 80 boys)’s 1 day’s work ≡ (52 men + 96 boys)’s 1 day’s work
⇒ (60 – 52) men ≡ (96 – 80) boys
⇒ 8 men ≡ 16 boys
⇒ 1 man ≡ 2 boys
∴ Required ratio = 2 : 1
