Question

If 12 men and 16 women can do a piece of work in 5 days and 13 men and 24 women can do it in 4 days, how long will 7 men and 10 women take to do it?

Answer 1

Here is how it is solved:


5(12 M + 16 W) = 4(13 M + 24 W)
60M + 80W = 52M + 96W


That gives, 8M = 16W, which is , 1M=2W
Now, 12 M + 16W can do work in 5 days.
So, 12 M + 8 M can do work in 5 days.
So, 20M can do work in 5 days.
Now, 7M + 10W = 7M + 5M = 12 M


Hence, if 20M can do work in 5 days, 12M can do work in (20*5)/12 = 8.33 days.

hope it will help you..