Quantitative Aptitude Ques 1961

Question: Pipe A and B can fill a tank in 10 h and 8 h, respectively. After certain time, pipe A was closed. It took a total of 6 hours to fill the tank completely. For how many hours did pipe A work?

Options:

A) $ 4\frac{1}{4}h $

B) $ 2\frac{1}{2}h $

C) $ 1\frac{1}{9}h $

D) $ 5\frac{1}{3}h $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Part filled by pipe A is $ 1h=\frac{1}{10} $ Part filled by pipe B is $ 1h=\frac{1}{8} $ Part filled by pipe B in $ 6h=\frac{6}{8}=\frac{3}{4} $ Remaining part $ =1-\frac{3}{4}=\frac{1}{4} $ Remaining part filled by (A + B) in 1 h $ =\frac{1}{10}+\frac{1}{8}=\frac{4+5}{40}=\frac{9}{40} $ Time taken to fill $ \frac{1}{4} $ part by both A and 6 $ =\frac{40}{9}\times \frac{1}{4}=\frac{10}{9}h=1\frac{1}{9}h $
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