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      Question

      Pipe ‘A’ can fill a tank in 10 hours whereas pipe

      ‘B’ can empty it in 20 hours. If both pipes are opened together while pipe ‘B’ is closed after 4 hours, then find the time taken by pipe ‘A’ to fill the rest of the tank.
      A 12 hrs Correct Answer Incorrect Answer
      B 8 hrs Correct Answer Incorrect Answer
      C 10 hrs Correct Answer Incorrect Answer
      D 18 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ; Let the capacity of the tank be 20 litres. {LCM (10 and 20)} Efficiency of inlet pipe ‘A’ = (20/10) = 2 litres/hour Efficiency of outlet pipe ‘B’ = (20/20) = 1 litre/hour Combined efficiency of both pipes = (2 – 1) = 1 litre/hour Required time = {20 – (1 × 4)} ÷ 2 = 8 hours

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