Question

Wenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days .Sixteen men and sixteen women started working and worked for twelve days. How many more men are to added to complete the remaining work in 2 days?

Answer 1

First find the relation of rate of work done by men vs women.

24 men complete the work in 16 days.
32 women can complete the same work in 24 days.
So 24 women will take 24 * (32/24) = 32 days to complete the work

Same number of women take twice the time (16 days vs 32 days) so their rate of work is half.
So 16 women are equivalent to 8 men work-wise.

So 16 + 8 = 24 men start working and work for 12 days. They complete the work in 16 days so they need another 4 days to complete. But if we want them to complete the work in half the time (2 days), we will need twice the work force. So we need another 24 men.