20 men can do a work in 24 days and 24 women can do the same work in 48 days. 20 men started the work and after 12 days all 20 men left. How many women are required to complete the remaining work in 8 days?

Correct answer: 72

Solution

20 men finish the work in 24 days, so 20 men do 24 of the work per day. Thus 20 men in 12 days complete half the work. The remaining half must be done by women in 8 days, and since 24 women do the work in 48 days, 72 women are needed.

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