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      Question

      Pipe β€˜A’ can fill a tank in 20 hours while pipe

      β€˜B’ takes 30 hours to empty it. Pipe β€˜A’ is opened alone when the tank was empty and after 15 hours pipe β€˜B’ is also opened. In how much time will the tank get filled completely?
      A 32 hours Correct Answer Incorrect Answer
      B 33 hours Correct Answer Incorrect Answer
      C 30 hours Correct Answer Incorrect Answer
      D 35 hours Correct Answer Incorrect Answer

      Solution

      Let the total capacity of the tank be 60 units Efficiency of pipe β€˜A’ = 60/20 = 3 units/hour Efficiency of pipe β€˜B’ = 60/30 = 2 units/hour Tank filled in 15 hours = 15 Γ— 3 = 45 units Therefore, required time taken to fill the remaining tank = (60 – 45)/(3 – 2) = 15 hours Therefore, total time taken = 15 + 15 = 30 hours

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