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GATE 2022 IN – Question 3

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute. P, Q and R operate at a constant rate. If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, what is the capacity of the storage tank (in litres)?

  1. 26.8
  2. 60.0
  3. 120.0
  4. 127.5

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Correct answer: (C) 120.0

Explanation

For capacity V litres, inflow is V/10+V/6 litres/min and outflow is 34. Net emptying in 60 minutes requires 34−V(1/10+1/6)=V/60.

Hence 34=17V/60, so **V=120 litres, C**.