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      Question

      Pipe β€˜A’ can fill a tank in 25 hours while pipe

      β€˜B’ takes 30 hours to empty it. Pipe β€˜A’ is opened alone when the tank was empty and after 12 hours pipe β€˜B’ is also opened. In how much time will the tank get filled completely?
      A 90 hours Correct Answer Incorrect Answer
      B 20 hours Correct Answer Incorrect Answer
      C 80 hours Correct Answer Incorrect Answer
      D 60 hours Correct Answer Incorrect Answer

      Solution

      Let the total capacity of the tank be 150 units Efficiency of pipe β€˜A’ = 150/25 = 6 units/hour Efficiency of pipe β€˜B’ = 150/30 = 5 units/hour Tank filled in 12 hours = 12 Γ— 6 = 72 units Therefore, required time taken to fill the remaining tank = (150 – 72)/(6 – 5) = 78 hours Therefore, total time taken = 12 + 78 = 90 hours

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