Pipe Efficiency and Tank Filling Time

CMAT 2022 · Quantitative Techniques & Data Interpretation · Easy · Work and Time

One pipe can fill a tank three times as fast as another pipe. If the two pipes together can fill the tank in 36 minutes, then the slower pipe will take how much time to fill the tank alone?

  1. A.

    81 minutes

  2. B.

    108 minutes

  3. C.

    192 minutes

  4. D.

    144 minutes

Answer

D

Explanation

Let slower pipe fill rate =x= x units/min. Faster pipe fill rate =3x= 3x units/min. Combined rate =4x= 4x units/min. Total tank capacity =4x×36=144x= 4x \times 36 = 144x units. Time for slower pipe alone =144xx=144= \frac{144x}{x} = 144 minutes.

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