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      Question

      An inlet pipe fills a water tank in 50 minutes and an

      outlet pipe empties the tank in 75 minutes. How much time will both take to fill half the tank when opened together?
      A 54 mins Correct Answer Incorrect Answer
      B 75 mins Correct Answer Incorrect Answer
      C 30 mins Correct Answer Incorrect Answer
      D 45 mins Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let total tank capacity be 150 litres (LCM of 50 and 75)

      Inlet efficiency = 150 ÷ 50 = 3 litres/minute

      Outlet efficiency = 150 ÷ 75 = -2 litres/minute

      Required time = (0.5 × 150) ÷ (3 - 2) = 75 minutes

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