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      Question

      Pipe A and B can fill a tank in 36 and 45 hours. Pipe C

      can empty the tank in ‘x’ hours. If all three are opened, the tank is filled in 60 hours. Find x.
      A 24 hours Correct Answer Incorrect Answer
      B 28 hours Correct Answer Incorrect Answer
      C 30 hours Correct Answer Incorrect Answer
      D 36 hours Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank = 180 liters (LCM of 36, 45, and 60)
      Amount of water filled by pipe A in one hour = 180 ÷ 36 = 5 liters
      Amount of water filled by pipe B in one hour = 180 ÷ 45 = 4 liters
      Amount of water filled by pipes A, B and C together in one hour = 180 ÷ 60 = 3 liters
      Amount of water taken by pipe C alone in one hour = 5 + 4 – 3 = 6 liters
      Time taken by pipe C alone to empty the tank = 180 ÷ 6 = 30 hours

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