Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
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, thenthe ratio of the daily work done by a man to that of a boy is
(a)2 : 1
(b)3 : 1
(c)3 : 2
(d)5 : 4
Answer
Answer (as printed): A
Explanation
Let 1 man’s 1 day’s work = x and 1 boy’s 1 day’s work = y. 1 1 Then, 12 x + 16 y = and 13 x + 24 y = . 5 4 1 1 Solving these two equations, we get : x = and y = . 100 200 QUANTITATIVE APTITUDE 1 1 ∴ Required ratio = x : y = : = 2 : 1. 100 200
Explanation as extracted from the printed page; notation may be imperfect.