• There are two tanks A and B to fill up a water tank. The tank can be filled in 40 min, if both taps are on. The same tank can be filled in 60 min, if tap A alone is on. How much time will tap alone take, to fill up the same tank?

    A) 64 min

      B) 80 min

    C) 96 min

      D) 120 min

    Correct Answer:
      D) 120 min

    Description for Correct answer

    Part filled by tap A in 1 min = \( \Large \frac{1}{60} \)

    Let tap B fills the tank in x min

    Then, part filled by tap, B in 1 min = \( \Large \frac{1}{x} \)

    According to the question,

    = \( \Large \frac{1}{60} \) + \( \Large \frac{1}{x} \) = \( \Large \frac{1}{40} \)

    = \( \Large \frac{1}{x} \) = \( \Large \frac{1}{40} \) - \( \Large \frac{1}{60} \)

    => \( \Large \frac{1}{x} \) = \( \Large \frac{3-2}{120} \) => \( \Large \frac{1}{x} \) = \( \Large \frac{1}{120} \)

    Therefore, Tap B can fill the tank in 120 min.

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