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      Question

      Pipe M can fill a tank in 80 minutes while pipe N can

      fill the same tank in 120 minutes. If pipe M and N are opened simultaneously, then after how much time must pipe M be closed so that the whole tank is filled in 60 minutes?
      A 144 min Correct Answer Incorrect Answer
      B 200 min Correct Answer Incorrect Answer
      C 90 min Correct Answer Incorrect Answer
      D 120 min Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the capacity of the tank = 240 liters (LCM of 80 and 120). Quantity of water filled by pipe M in one minute = 240 / 80 = 3 liters. Quantity of water filled by pipe N in one minute = 240 / 120 = 2 liters. Let pipe M be closed after ‘x’ minutes. So, 3x + 2 × (60 – x) = 240 3x + 120 - 2x = 240 x = 120 x = 120/1 x = 120 So, pipe M must be closed after 120 minutes.

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