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      Question

      A and B can fill a tank in 25 and 30 hours respectively.

      C empties it in β€˜x’ hours. With all three open, the tank is filled in 15 hours. Find β€˜x’.
      A 90 hours Correct Answer Incorrect Answer
      B 100 hours Correct Answer Incorrect Answer
      C 120 hours Correct Answer Incorrect Answer
      D 150 hours Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank = 150 liters (LCM of 25, 30, and 15)
      Amount of water filled by pipe A in one hour = 150 Γ· 25 = 6 liters
      Amount of water filled by pipe B in one hour = 150 Γ· 30 = 5 liters
      Amount of water filled by pipes A, B and C together in one hour = 150 Γ· 15 = 10 liters
      Amount of water taken by pipe C alone in one hour = 6 + 5 – 10 = 1 liter
      Time taken by pipe C alone to empty the tank = 150 Γ· 1 = 150 hours

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