Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (12.07.2022) Shift-I
A pipe can fill a water tank three times as fast as another pipe. If both are used together, they can fill the tank in 36 minutes. How much time will be taken by the slower pipe alone to fill the tank?
A192 minutes
B108 minutes
C144 minutes ✓ Correct
D160 minutes
Correct answer: (C) 144 minutes — The answer is 144 minutes.
Explanation
★The answer is 144 minutes.
★Let the faster pipe fill the tank in x minutes, so the slower takes 3x minutes.
★Their combined rate is 1 over x plus 1 over 3x, which is 4 over 3x.
★Setting this equal to 1 over 36 gives 3x equal to 144, so x is 48.
★The slower pipe takes 3x, which is 3 times 48.
★That equals 144 minutes.
★So the answer is 144 minutes.
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