Quantitative Aptitude Ques 563

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 [RRB (TC/CC) 2012]

Options:

A) 2 : 1

B) 3 : 1

C) 2 : 2

D) 5 : 4

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let 1 man’s one day work = x and let 1 boy’s one day work = y Then, $ 12x+16y=\frac{1}{5} $ and $ 13x+24y=\frac{1}{4} $ On solving, we get $ x=\frac{1}{100}, $ $ y=\frac{1}{200} $ Ratio of man’s one day work to that of boy $ =\frac{x}{y}=\frac{\frac{1}{100}}{\frac{1}{200}}=\frac{2}{1} $
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