A borewell pump fills a farm storage tank in 24 hours, but a loose joint can drain the full tank in 56 hours. Starting empty with both the pump and the leak active, in how many hours will the tank be full?

Question

Accepted Answer

42. Net filling rate = 1/24 - 1/56 = 7/168 - 3/168 = 4/168 = 1/42 per hour, so the tank is full after 42 hours.

A borewell pump fills a farm storage tank in 24 hours, but a loose joint can drain the full tank in 56 hours. Starting empty with both the pump and the leak active, in how many hours will the tank be full?

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