Question
Pipe ‘A’ takes 30 hours to fill a tank. Pipe ‘B’
takes 90 hours to empty the same tank. If they are opened together, then 60% of the tank will be filled in how many hours?Solution
Let the capacity of the tank be 180 litres.
So, efficiency of pipe ‘A’ = 180 ÷ A = 6 litres/hour And efficiency of pipe ‘B’ = 180 ÷ B = 2 litres/hour So, combined efficiency of both pipes = 6 – 2 = 4 litres/hour So, time taken to fill 60% of the tank = (180 × 0.60) ÷ 4 = 108 ÷ 4 = 27 hours
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