Question
Pipe ‘A’ can fill a tank in 25 hours while pipe ‘B’ takes 30 hours to empty it. Pipe ‘A’ is opened alone when the tank was empty and after 13 hours pipe ‘B’ is also opened. In how much time will the tank get filled completely?
Solution
Let the total capacity of the tank be 150 units Efficiency of pipe ‘A’ = 150/25 = 6 units/hour Efficiency of pipe ‘B’ = 150/30 = 5 units/hour Tank filled in 13 hours = 13 × 6 = 78 units Therefore, required time taken to fill the remaining tank = (150 – 78)/(6 – 5) = 72 hours Therefore, total time taken = 13 + 72 = 85 hours
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