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      Question

      Pipes A, B, and C are connected to a tank. Pipe A can

      fill the empty tank in 48 minutes, and Pipe B can do the same in 80 minutes. On the other hand, Pipe C is an outlet pipe that can empty the full tank in 96 minutes. If all three pipes are opened simultaneously, how long will it take to fill the tank completely?
      A 42(7/11) mins Correct Answer Incorrect Answer
      B 43(7/9) mins Correct Answer Incorrect Answer
      C 42(5/9) mins Correct Answer Incorrect Answer
      D 43(7/11) mins Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the capacity of tank be 480 litres (LCM of 48, 80 and 96) . Efficiency of 'A' = (480/48) = 10 litres/minute Efficiency of 'B' = (480/80) = 6 litres/minute Efficiency of 'C' = (480/96) = - 5 litres/minute Therefore, required time = 480 ÷ (10 + 6 - 5) = (480/11) = 43(7/11) mins 

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