Question

If 12 men or 15 women can finish a piece of work in 66 days, how long will 24 men and 3 women take to finish the work?

Answer 1

According to the amount of work done, 12 men are equivalent to 15 women
12men = 15 women
1 man = 15/12
=5/4women
12men+ 15 women = 5/4× 12women+15 women
=30women
15 women will do a piece of work in 66 days
1 woman will do the work in = 66× 15
= 990 days
24 men+3women = 24×5/4women+3women
= 33 women
33women ( 24men+ 3 women) will complete the work in 990/33 = 30 days
therefore 24 men and 3 women will finish the work in 30 days