Quantitative Aptitude Ques 1209

Question: If two pipes function simultaneously the reservoir will be filled in 8 h one pipe fills the reservoir 12 h faster than the other. How many hours does the faster pipe take to fill the reservoir?

Options:

A) 12

B) 16

C) 14

D) 10

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let one pipe take x h to fill the reservoir, so that the second pipe takes $ (x-12)h. $

$ \therefore $ $ \frac{1}{x}+\frac{1}{x-12}=\frac{1}{8}, $ which is satisfied by $ x=24 $

$ \therefore $ The faster pipe takes $ (24-12)=12h $ to fill the reservoir.

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