Question
Pipe ‘A’ can fill a 210-litre tank in 10.5 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’ = (210/10.5) = 20 litres/hour Efficiency of pipe ‘C’ = 20 ÷ 1.25 = 16 litres/hour Efficiency of pipe ‘B’ = 16 × 1.5 = 24 litres/hour Time taken by all the pipes together to fill the tank = {210/(20 + 16 + 24)} = (210/60) = 3.5 hours Or, time taken by all three pipes together to fill the tank = 3.5 × 60 = 210 minutes
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