Quantitative Aptitude Ques 533

Question: Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long, 44 m wide. The time taken, in hours, for the rise in the level of water in the tank to be 7 cm is

Options:

A) 2

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

C) 3

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

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] Water flowed by the pipe in $ 1,h=\pi r^{2}h $ $ =\frac{22}{7}\times \frac{7\times 7}{100\times 100}\times 5000=77,m^{3} $ Volume of expected water in the tank $ =\frac{50\times 44\times 7}{100}=154,m^{3} $

$ \therefore $ Required time $ =\frac{154}{77}=2,h $