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      Question

      Pipe A and B can fill the pool in 35 minutes and 10

      minutes, respectively. Pipe C can empty half filled pool in 35 minutes. If all the pipes are opened together, then find the time taken to fill the empty pool completely
      A 6.75 minutes Correct Answer Incorrect Answer
      B 5.75 minutes Correct Answer Incorrect Answer
      C 8.75 minutes Correct Answer Incorrect Answer
      D 10.75 minutes Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Time taken by pipe C to empty the full pool = 35 × 2 = 70 minutes Let the capacity of pool = 70 units Number of units of water filled by pipe A alone in one minute = 70/35 = 2 units Number of units of water filled by pipe B alone in one minute = 70/10 = 7 units Number of units of water emptied by pipe C alone in one minute = 70/70 = 1 units Required time taken = 70/(2 + 7 – 1) = 8.75 minutes

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