Question
Pipe ‘A’ can fill a 150-litre tank in 15 hours. If
pipe ‘A’ is 25% more efficient than pipe ‘C’ whereas pipe ‘B’ is 50% more efficient than pipe ‘C’, then find the time (in minutes) taken by all the given three pipes to fill the same tank together.Solution
According to Question; Efficiency of pipe ‘A’ = (150/15) = 10 litres/hour Efficiency of pipe ‘C’ = 10 ÷ 1.25 = 8 litres/hour Efficiency of pipe ‘B’ = 8 × 1.5 = 12 litres/hour Time taken by all the pipes together to fill the tank = {150/(10 + 8 + 12)} = (150/30) = 5 hours Or, time taken by all three pipes together to fill the tank = 5 × 30 = 150 minutes
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