Question
Pipe ‘A’ can fill a 240-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’ = (240/15) = 16 litres/hour Efficiency of pipe ‘C’ = 16 ÷ 1.25 = 12.8 litres/hour Efficiency of pipe ‘B’ = 12.8 × 1.5 = 19.2 litres/hour Time taken by all the pipes together to fill the tank = {240/(16 + 12.8 + 192)} = (240/48) = 5 hours Or, time taken by all three pipes together to fill the tank = 5 × 48 = 240 minutes Â
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