24 women can complete a work in 50 days. If 48 women work for x days, and then 24 more women join them and the remaining work is completed in 10 days, find the value of x.

Correct answer: 10

Solution

Total work = 24 × 50 = 1200 woman-days. If 48 women work for x days, they complete 48x work; then 72 women work for 10 days, completing 720 work. So 48x + 720 = 1200, giving x = 10.

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