Question
Pipe ‘X’ alone can fill a tank in 20 hours. When
both pipes ‘X’ and ‘Y’ are opened together, they can fill 75% of the tank in 9 hours. How much time will pipe ‘Y’ alone take to fill 80% of the same tank?Solution
ATQ,
Time taken by pipes ‘X’ and ‘Y’ together to fill 100% of the tank = 9 ÷ 0.75 = 12 hours
Let the capacity of the tank be 60 litres. {LCM (20 and 12)}
Efficiency of pipe ‘X’ = (60/20) = 3 litres/hour
Efficiency of pipe ‘X’ and ‘Y’ together = (60/12) = 5 litres/hour
Efficiency of pipe ‘Y’ = 5 – 3 = 2 litres/hour
Time taken by pipe ‘Y’ to fill 80% of the tank = (60 × 0.8)/2 = 24 hours
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