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      Question

      Pipe A fills a tank in 9 hours, pipe B in 12 hours and

      pipe C empties it in 18 hours. All are opened for 3 hours, then C is closed. Remaining tank will be filled in:
      A 5 hrs Correct Answer Incorrect Answer
      B 3 hrs Correct Answer Incorrect Answer
      C 8 hrs Correct Answer Incorrect Answer
      D 10 hrs Correct Answer Incorrect Answer

      Solution

      ATQ, Net rate (A+B−C) = 1/9 + 1/12 − 1/18 LCM 36 ⇒ 4/36 + 3/36 − 2/36 = 5/36 In 3 hours filled = 15/36 = 5/12 Remaining = 7/12 Now rate (A+B) = 1/9 + 1/12 = 7/36 Time = (7/12)/(7/36) = 3 hours

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