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      Question

      Pipe A can fill the empty tank in 25 minutes while pipe

      B can empty the half-filled same tank in 15 minutes. What is the time require to fill (80/3) % of the tank when both pipes are opened together ?
      A 65 minutes Correct Answer Incorrect Answer
      B 50 minutes Correct Answer Incorrect Answer
      C 45 minutes Correct Answer Incorrect Answer
      D 40 minutes Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      Let B can empty the tank in = 15 x 2 =30 minutes  Let the capacity of a tank be LCM of (25,30)=150  Pipe A efficiency = 150/25 = 6 units/min  Pipe B efficiency = 150/30 = 5 unit/min Therefore, required time to fill (80/3)% of the tank when both pipes are opened together is  = (4/15) x 150/(6-5) = 40 minutes 

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