Quantitative Aptitude Ques 1833

Question: Pipe A can fill a tank in 30 min, while pipe B cam fill the same tank in 10 min and pipe C can empty the full tank in 40 min. If all the pipes are opened together, then how much time will be needed to make the tank full?

Options:

A) $ 9\frac{3}{13}h $

B) $ 9\frac{4}{13}h $

C) $ 9\frac{7}{13}h $

D) $ 9\frac{9}{13}h $

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Part filled by A in 1 min $ =\frac{1}{30} $ Part filled by B in 1 min $ =\frac{1}{10} $ Part emptied by the C in 1 min $ =-\frac{1}{40} $ Net part filled in 1 h by (A + B + C) $ =( \frac{1}{30}+\frac{1}{10}-\frac{1}{40} )=\frac{4+12-3}{120}=\frac{13}{120} $

$ \therefore $ Required time to fill the tank $ =\frac{120}{13}=9\frac{3}{13}h $

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