5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a… · ABC26GN3533
Subject: General Aptitude · Chapter: Time and Work
5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a man and a boy are in the ratio :
(a)1 : 2
(b)2 : 1
(c)1 : 3
(d)3 : 1
Answer
Explanation
Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y. Then, $5x + 2y = 4(x + y) \Rightarrow x = 2y \Rightarrow \frac{x}{y} = \frac{2}{1}$.
Explanation as extracted from the printed page; notation may be imperfect.
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