Question

Five men can complete a piece of work in 6 days. 6 women take 10 days to complete the same
piece of work. How many days will it take for 5 men and 5 women to complete the work?​

Answer 1

Answer:

5 days

Step-by-step explanation:

The work requires 5x6 = 30 man-days.

The work requires 10x5 = 50 woman-days.

1 man does (1/30)th of the work in 1 day and 3 men can do (1/10)th of the work in a day.

1 woman does (1/50)th of the work in 1 day and 5 women can do (1/10)th of the work in a day.

So 3 men and 5 women can do (1/10)+(1/10) = (1/5)th of the work in 1 day.

Thus 3 men and 5 women will complete the same work in 5 days.