SOLUTION: A rowing team rowing with the current travelled 24 km in 3 hours. Against the current, the team rowed 8 km in 2 hours. Find:
a) The rate of the rowing team in calm water and,
b)
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Question 189326: A rowing team rowing with the current travelled 24 km in 3 hours. Against the current, the team rowed 8 km in 2 hours. Find:
a) The rate of the rowing team in calm water and,
b) The rate of the current
I tried the question and got 6km/h in calm water
and 2km/h as the rate of the current. Is that right?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rowing team rowing with the current travel
ed 24 km in 3 hours. Against the current, the team rowed 8 km in 2 hours.
Find:
Let x = boat speed in calm water
Let y = rate of the current
:
Write two distance equations; Dist = time * speed
3(x + y) = 24; with the current
2(x - y) = 8; against the current
:
Simplify both equations, divide the 1st by 3 and the 2nd by 2; results
x + y = 8
x - y = 4
------------addition eliminates y
2x = 12
x =
x = 6 mph is the boat speed in calm water
and
x + y = 8
6 + y = 8
y = 8 - 6
y = 2 mph is the speed of the current
:
which is what you got, way to go!
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