Question
A pipe can fill a tank in 18 minutes, while another can
empty it in 27 minutes. If both pipes are opened simultaneously, how long will it take to fill the tank?Solution
Work done by the filling pipe in 1 minute = 1/18 Work done by the emptying pipe in 1 minute = -1/27 Net work done in 1 minute = (1/18 - 1/27) = 1/54 Time taken to fill the tank = 1 ÷ 1/54 = 54 minutes. Correct answer: a) 54 minutes
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