Quantitative Aptitude Ques 45

Question: The water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 60 m long and 44 m wide. The time taken, in hours, for the rise in the level of water in the tank to be 7 m is

Options:

A) 2

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

C) 3

D) $ 2\frac{1}{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Water flowed through pipe in $ 1h=\pi r^{2}h $
    $ =\frac{22}{7}\times \frac{7\times 7}{100\times 100}\times 5000=77,m^{3} $ Required volume of water in tank $ =\frac{50\times 44\times 7}{100}=154,m^{3} $

$ \therefore $ Time taken to fill the tank $ =\frac{154}{77}=2,h $