Water is flowing at the rate of 5 km/hr through a cylindrical pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Determine the time in which the level of water in the tank will rise by 7 cm :

A. 1 hour

B. $$1\frac{1}{2}$$ hours

C. 2 hours

D. 3 hours

Answer: Option C

Solution(By Examveda Team)

Volume of water flown into the tank :
$$\eqalign{ & = \left( {50 \times 44 \times 0.07} \right){{\text{m}}^3} \cr & = 154\,{{\text{m}}^3} \cr} $$
Volume of water flowing through the pipe in 1 hour :
$$\eqalign{ & = \left( {\frac{{22}}{7} \times 0.07 \times 0.07 \times 5000} \right){{\text{m}}^3} \cr & = 77\,{\text{m}} \cr} $$
∴ Required time $$ = \left( {\frac{{154}}{{77}}} \right) = 2{\text{ hours}}$$