SOLUTION: A certain river has a speed of 2.41 km/h. A rower travels downstream for 1.5 h and returns in 4.5 h. Find his rate in still water, and find the one-way distance traveled. Round the

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Question 1068211: A certain river has a speed of 2.41 km/h. A rower travels downstream for 1.5 h and returns in 4.5 h. Find his rate in still water, and find the one-way distance traveled. Round the answers to three significant digits.
rower's rate in still water =
km/h
one-way distance =
km
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=speed of rower
x+2.41 is speed downstream
x-2.41 is speed upstream
in 1.5 hours, the rower goes (x+2.41)*1.5=1.5x+3.615 km downstream
in 4.5 hours, the rower goes (x-2.41)*4.5=4.5x-10.845 km upstream.
Those distances are equal
1.5x+3.615=4.5x-10.845
3x=14.46
x=4.82 km/h ANSWER to ROWER'S STILL WATER SPEED
Downstream in 1.5 hours is 7.23 km/h*1.5=10.845 km ONE-WAY DISTANCE
Upstream in 4.5 hours is 2.41 km/h*4.5=10.845 km