SATHEE: Quantitative Aptitude Ques 1927

Quantitative Aptitude Ques 1927

Question: If two pipes function together, the tank will be filled in 12 h. One pipe fills the tank in 10 h faster than the other. How many hours does the faster pipe take to fill up the tank?

Options:

A) 20

B) 60

C) 15

D) 25

Show Answer

Answer:

Correct Answer: A

Solution:

Let one pipe takes m h to fill the tank. Then, the other pipe takes $ (m-10)h. $ According to the question,

$ \therefore $ $ \frac{1}{m}+\frac{1}{(m-10)}=\frac{1}{12} $

$ \Rightarrow $ $ \frac{m-10+m}{m(m-10)}=\frac{1}{12} $

$ \Rightarrow $ $ 12(m-10+m)=m(m-10) $

$ \Rightarrow $ $ m^{2}-34m+120=0 $

$ \Rightarrow $ $ m^{2}-30m-4m+120=0 $

$ \Rightarrow $ $ (m-30)(m-4)=0 $

$ \therefore $ $ m=30 $ or 4

$ \therefore $ Faster pipe will take $ (30-10)h=20h $ to fill the tank.

Quantitative Aptitude Ques 1926

Quantitative Aptitude Ques 1928

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