Water flows into a tank 150m long and 100m broad through a rectangular pipe whose cross section is 5dm*3.5dm ,at the speed of 15km/hr. In what time,will the water be 7m deep...
Answers
Answer:
40 hours.
Step-by-step explanation:
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 hrs.
Given :-
For Water
Length (l) = 150 m
Breadth (b) = 100 m
Height (h) = 7 m
For Pipe
Length (l) = 5 dm = 0.5
breadth (b) = 3.5 = 0.35
To Find :-
To Find the time at which the water level will be 7 m.
Solution :-
Volume of Water (Rectangular) in shape = l × b × h
= 150 × 100 × 7 m
= 105000 m³
Now, Area of pipe = l × b
= 0.5 × 0.35
= 0.175 m²
Amount of water flowing in 1 hr = 15 km/hr
= 15000 m/hr
Amount of water flow in 1 hr = time taken in 1 hr × area of pipe
= 0.175 × 15000
= 2625 m²
Time taken by tank to reach the level of 7 m deep = 105000 /2625
= 40 hours.