Question
Pipe ‘A’ takes 60 hours to fill a tank. Pipe
‘B’ takes 120 hours to empty it. If both are opened together, find the time required to fill 50% of the tank.Solution
Let the capacity of the tank be 240 litres.So, efficiency of pipe ‘A’ = 240 ÷ A = 4 litres/hour And efficiency of pipe ‘B’ = 240 ÷ B = 2 litres/hour So, combined efficiency of both pipes = 4 – 2 = 2 litres/hour So, time taken to fill 50% of the tank = (240 × 0.50) ÷ 2 = 120 ÷ 2 = 60 hours
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