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 t...........

Quant (SSC) Time and work

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

2 : 1

3 : 1

3 : 2

5 : 4

छोटे Courses बड़े Results

Master Time and work

Prepare through Micro-courses

Try Now

Explanation:

Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.
Then, 12x + 16y
= 1/5 and 13x + 24y = 1/4
Solving these two equations, we get: x
= 1/100 and y = 1/200
∴ Required ratio = x : y
= 1/100 : 1/200 = 2 : 1