12 women and 16 men can do a piece of work in 5 days. 13 women and 24 men can do it in 4 days. How long will 25 women and 50 men take to do it?

Explanation

Equating total work: 5(12W + 16M) = 4(13W + 24M) \implies 60W + 80M = 52W + 96M \implies 8W = 16M \implies 1W = 2M. Total work = 5(12(2M) + 16M) = 200M. 25W and 50M equal 100M. Time required = \frac{200M}{100M} = 2 days.

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