Time and work?

Question

3 men can do a piece of work in 6 days, 5 women can do the same work in 18days. If 4 men and 10 women work together, then how long will it take to finish the work?

Answer 1

3 men = 6 days

1 man = 18 days

1 man in 1 day = 1/18 of the work

5 women = 18 days

1 woman = 90 days

1 woman in 1 day = 1/90 of the work

So 4 men + 10 women in 1 day

= 4/18 + 10/90

= 2/9 + 1/9

= 3/9

= 1/3 of the work

It will take 3 days to finish the work.