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      Question

      Pipes A and B can fill a pool in 16 minutes and 24

      minutes, respectively, while pipe C can empty it in 48 minutes. When all the pipes are open, find the time required to fill the pool.
      A 9 min Correct Answer Incorrect Answer
      B 12 min Correct Answer Incorrect Answer
      C 25 min Correct Answer Incorrect Answer
      D 18 min Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Time taken by pipe C to empty the full pool = 48 minutes. Let the total capacity of the pool = 48 gallons (LCM of 16, 24, and 48). Quantity of water filled by pipe A in one minute = 48 / 16 = 3 gallons. Quantity of water filled by pipe B in one minute = 48 / 24 = 2 gallons. Quantity of water emptied by pipe C in one minute = 48 / 48 = 1 gallon. Required time taken = 48 / (3 + 2 - 1) = 48 / 4 = 12 minutes.

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