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      Question

      Pipe X and Pipe Y can

      independently fill a tank in 18 minutes and 30 minutes, respectively. However, there is a leakage in the tank that causes water to flow out at a rate of 2 liters per minute. How long will it take to fill the tank if both pipes and the leakage operate simultaneously?
      A 20 mins Correct Answer Incorrect Answer
      B 15 mins Correct Answer Incorrect Answer
      C 22 mins Correct Answer Incorrect Answer
      D 18 mins Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Capacity of tank = LCM of 18 and 30 = 90 units Units per minute filled by pipe X = 90/18 = 5 Units per minute filled by pipe Y = 90/30 = 3 Required time = 90/ (5 + 3 – 2) = 90/6 = 15 minutes

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