Question

Water flow in a tank 150 m x 100 m at the base, through a pipe whose cross section is 0.2 m by 0.15 m at the speed of 15 km/hour. In what time, will the water be 3 metres deep?

• A. 100 hrs.
• B. 10 hrs.
• C. 50 hrs.
• D. 80 hrs.

Answer 1

The correct option is A

100 hrs.

Length of cross section of pipe = 0.2 m
Breadth of cross section of pipe = 0.15 m

Area of cross section = 0.2 x 0.15 = 0.03 $m^2$
Speed of water = 15 km/h = 15000 m/h
Volume of water flown in 1 h = 0.03 x 15000 = 450 $m^3$

Dimensions of the water tank = 150 x 100

Volume of water for a depth of 3 m = 150 x 100 x 3 = 45000 $m^3$

Time taken to fill the tank to a depth of 3 m = $\frac{45000}{450}$ = 100 hrs.