• Through an inlet, a tank takes 8 h to get filled up. Due to a leak in the bottom, it takes 2 h more to get it filled completely. If the tank is full, how much time will the leak take to empty it?

    A) 16 h

      B) 20 h

    C) 32 h

      D) 40 h

    Correct Answer:
      D) 40 h

    Description for Correct answer
    Let the leak takes x h to empty the tank.

    Now. part filled by inlet in 1 h = \( \Large \frac{1}{8} \)

    Part filled in 1 h when both tap and leak works together

    = \( \Large \frac{1}{8+2} \) = \( \Large \frac{1}{10} \)

    According to the question,

    = \( \Large \frac{1}{x} \) = \( \Large \frac{1}{8} \)-\( \Large \frac{1}{10} \)=\( \Large \frac{5-4}{40} \) = \( \Large \frac{1}{40} \)

    Therefore, x = 40 h

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