SATHEE: Quantitative Aptitude Ques 1868

Quantitative Aptitude Ques 1868

Question: There are 7 pipes attached with a tank out of which some are inlets and some are outlets. Every inlet can fill the tank in 10 h and every outlet can empty the tank in 15 h. When all the pipes are opened simultaneously, the tank is filled up in $ 2\frac{8}{11}h. $ Find the numbers of inlets and outlets.

Options:

A) 5, 2

B) 6, 1

C) 4, 3

D) 3, 4

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Let number of outlets be x.

$ \therefore $ Number of inlets $ =(7-x) $ Time taken to fill the tank when all the pipes are opened $ =\frac{30}{11}h $ Part of tank filled in 1 h when all the pipes are opened $ =\frac{11}{30}h $ According to the question, $ \frac{7-x}{10}-\frac{x}{15}=\frac{11}{30} $

$ \Rightarrow $ $ \frac{3(7-x)-2x}{30}=\frac{11}{30} $

$ \Rightarrow $ $ 21-3x-2x=11 $
$ \Rightarrow $ $ 5x=10 $

$ \therefore $ $ x=2 $ Hence, number of outlets $ =2 $ and number of inlets $ =7-2=5 $

Quantitative Aptitude Ques 1867

Quantitative Aptitude Ques 1869

Quantitative Aptitude Ques 1868

Options:

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Solution:

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