39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

Correct answer: 13

Solution

Total work = 39 × 12 × 5 = 2340 person-hours. If 30 persons work 6 hours a day for d days, then 30 × d × 6 = 2340. Solving gives d = 13.

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