Question
Pipe ‘P’ alone can fill a tank in 12 hours. When
pipe ‘P’ and ‘Q’ are opened together, they can fill 75% of the same tank in 9 hours. Find the time taken by pipe ‘Q’ alone to fill 60% of the same tank.Solution
ATQ; Time taken by pipes ‘P’ and ‘Q’ together to fill 100% of the tank = 9 ÷ 0.75 = 12 hours Let the capacity of the tank be 60 litres. {LCM (12 and 12)} Efficiency of pipe ‘P’ = (60/12) = 5 litres/hour Efficiency of pipe ‘P’ and ‘Q’ together = (60/12) = 5 litres/hour Efficiency of pipe ‘Q’ = 5 – 5 = 0 litres/hour Time taken by pipe ‘Q’ to fill 60% of the tank = (60 × 0.6)/0 = Undefined (This scenario is not possible, as pipe ‘Q’ has no efficiency.)
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