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      Question

      A and B can fill a tank in 9 hours and 18 hours

      respectively. Pipe C can empty it in β€˜x’ hours. If all three pipes are opened, the tank is filled in 4 hours. Find x.
      A 8 hours Correct Answer Incorrect Answer
      B 9 hours Correct Answer Incorrect Answer
      C 10 hours Correct Answer Incorrect Answer
      D 12 hours Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank = 36 liters (LCM of 9, 18, and 4)
      Amount of water filled by pipe A in one hour = 36 Γ· 9 = 4 liters
      Amount of water filled by pipe B in one hour = 36 Γ· 18 = 2 liters
      Amount of water filled by pipes A, B and C together in one hour = 36 Γ· 4 = 9 liters
      Amount of water taken by pipe C alone in one hour = 4 + 2 – 9 = 3 liters
      Time taken by pipe C alone to empty the tank = 36 Γ· 3 = 12 hours

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