Question

Water flows into a tank 150m long and 100m broad through a rectangular pipe whose crosssection is 5dm *3.5dm at the speed of 15km/h .in what time will the water be 7m deep

Answer 1

It will reach in 0.5 sec

Answer 2

Answer = 40 hours

Volume of water to be filled = length × breadth × height

We have..

length = 150 m

breadth = 100 m

height = 7 m

Substitute the known values in above formula

=> 150 × 100 × 7

=> 105000 m³

Area of pipe = length × breadth

We have ..

length = 5 dm

breadth = 3.5 dm

To convert dm into m .. divide with 10.

So,

length = 0.5 m

breadth = 0.35 m

Substitute the known values in above formula

=> 0.5 × 0.35

=> 0.175 m²

Amount of water flow in 15 km/hr. = 0.175 m²

Amount of water flow in 1 hour = 15 km/hr. = 15000 m/hr.

=> 0.175 × 15000

=> 2625 m²

We have to find time taken to fill the tank which is 7 m deep.

So,

Time taken = Volume of water to be filled/Amount of water that flow in 1 hour.

=> 105000/2625

=> 40 hours.