Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be
(a)4 days
(b)5 days
(c)6 days
(d)7 days
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, 6x + 8y = and 26 x + 48 y = . 10 2 1 1 Solving these two equations, we get : x = and y = . 100 200 15 20 1 (15 men + 20 boys)’s 1 day’s work = + = . 100 200 4 ∴ 15 men and 20 boys can do the work in 4 days. 18 9 = .
Explanation as extracted from the printed page; notation may be imperfect.