Question
Pipes ‘P’ and ‘Q’ alone can fill a tank in 10
minutes and 25 minutes, respectively, while pipe ‘R’ can empty the same tank in 50 minutes. If all three pipes are opened together, then find the time taken to fill the tank.Solution
ATQ,
Let the capacity of the tank be 50 litres {LCM (10, 25, and 50)}
Efficiency of pipe ‘P’ = (50/10) = 5 litres/minute
Efficiency of pipe ‘Q’ = (50/25) = 2 litres/minute
Efficiency of pipe ‘R’ = (50/50) = 1 litre/minute
Required time = {50 / (5 + 2 – 1)} = 50/6 = 25/3
The tank will be filled in 25/3 min or 8 minutes and 20 seconds.
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