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Time and Work - General Aptitude

Q1:

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

ANS:A - 4 days

Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.

Then, 6x + 8y = 1 and 26x + 48y = 1 .
10 2
Solving these two equations, we get : x = 1 and y = 1 .
100 200
(15 men + 20 boy)'s 1 day's work = 15 + 20 = 1 .
100 200 4
 15 men and 20 boys can do the work in 4 days.