Question
A pipe can fill a tank in 12 hours, while a second pipe
can empty it in 18 hours. If both pipes are opened at the same time, how long will it take to fill the tank?Solution
Rate of filling of the first pipe = 1/12 tank per hour. Rate of emptying of the second pipe = 1/18 tank per hour. Net rate = 1/12 - 1/18 = (3 - 2) / 36 = 1/36 tank per hour. Time to fill the tank = 1 / (1/36) = 36 hours. Correct answer: a. 36 hours
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