50 men can complete a work in 40 days. They begin the work together but a batch of 5 men left after each period of 10 days. What is the time to complete the work?

Explanation

Total work = 50 \times 40 = 2000 man-days. Work in 10-day periods: 500, 450, 400, 350. After 40 days, 1700 units are done. Remaining 300 units will be completed by 30 men in exactly 10 days. Total time = 50 days.

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