Question
Pipes A and B alone can fill a tank in 12 minutes and 18
minutes, respectively, while pipe C alone can empty the full tank in 36 minutes. If all the pipes are opened together, then find the time taken to fill the tank completely.Solution
ATQ, Time taken by pipe C to empty the full tank = 36 minutes. Let the total capacity of the tank = 72 liters (LCM of 12, 18, and 36). Quantity of water filled by pipe A in one minute = 72 / 12 = 6 liters. Quantity of water filled by pipe B in one minute = 72 / 18 = 4 liters. Quantity of water emptied by pipe C in one minute = 72 / 36 = 2 liters. Required time taken = 72 / (6 + 4 - 2) = 72 / 8 = 9 minutes.
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