Question
Pipe ‘A’ can fill a 210-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’ = (210/15) = 14 litres/hour Efficiency of pipe ‘C’ = 14 ÷ 1.25 = 11.2 litres/hour Efficiency of pipe ‘B’ = 11.2 × 1.5 = 16.8 litres/hour Time taken by all the pipes together to fill the tank = {210/(14 + 11.2 + 16.8)} = (210/42) = 5 hours Or, time taken by all three pipes together to fill the tank = 5 × 60 = 300 minutes Â
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