SOLUTION: A river 2 m deep and 20 m wide is flowing at the rate of 5.4 km per hour. How much water will fall into the sea in 3 minutes.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A river 2 m deep and 20 m wide is flowing at the rate of 5.4 km per hour. How much water will fall into the sea in 3 minutes.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 760080: A river 2 m deep and 20 m wide is flowing at the rate of 5.4 km per
hour. How much water will fall into the sea in 3 minutes.

Found 2 solutions by Cromlix, DrBeeee:
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
5.4km/hr = 90m/min
If we give the water a length of 1 metre
the volume will be 2 x 20 x 1 = 40 m^3
Running at 90m/min
In 3 mins = 90 * 40 * 3
= 10800m^3 in 3 mins
Hope this helps.
:-)

Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
The cross section of the river is 2*20 or 40 m%5E2. Now we need to find how many meters the river flows in 3 min, when the rate is 5.4 km per hr.
Let x = the number of meters the river flows in 3 min
First convert the rate from km/hr to m/min by
(1) r = 5.4km*(1000m/km)/((hr)(60min/hr)) or
(2) r = 5400m/(60min) or
(3) r = 90 m/min
Now to find x
(4) x = 3min*90m/min or
(5) x = 270m
The volume, V, of water flowing into the sea is the cross section times the meters it flows in 3 min (our x),
(6) V = 40m%5E2*270m or
(7) V = 10,800m%5E3
Answer:The volume of water flowing into the sea in 3 minutes is 10,800m%5E3