Question
Pipe ‘A’ can fill a 300-litre tank in 30 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’ = (300/30) = 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 = {300/(10 + 8 + 12)} = (300/30) = 10 hours Or, time taken by all three pipes together to fill the tank = 10 × 60 = 600 minutes
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