Pipe A and B tank filling time

CMAT 2021 · Quantitative Techniques & Data Interpretation · Easy · Time and Work

Two pipes A and B can fill a tank in 5 hours and 20 hours respectively. Both pipes together can fill the same tank in:

  1. A.

    4 hours

  2. B.

    6 hours

  3. C.

    10 hours

  4. D.

    2 hours

Answer

A

Explanation

Let the total capacity of the tank be LCM(5,20)=20\text{LCM}(5, 20) = 20 units.

  • Rate of Pipe A = 205=4\frac{20}{5} = 4 units/hour
  • Rate of Pipe B = 2020=1\frac{20}{20} = 1 unit/hour

Combined rate of A and B = 4+1=54 + 1 = 5 units/hour.

Time required together = 205=4\frac{20}{5} = 4 hours.

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