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

Algebra.Com
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)   (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

RELATED QUESTIONS

A certain river has a speed of 2.50 mi/h. A rower travels downstream for 1.50 h and... (answered by josgarithmetic)
A boat travels 30 km/h in still water. If this boat goes upstream in a river flowing at a (answered by ikleyn,greenestamps)
Trina's boat travels 20 km/h in still water. A river has a current that flows at a rate... (answered by josgarithmetic,ikleyn)
A boat travels 14 km/h in still water.If this boat goes upstream in a river flowing at a... (answered by jorel1380)
trinas boat travels 20km/h in still water. a river has a current that flows at a rate of (answered by ewatrrr,richwmiller)
A river is flowing at a rate of 5 km/h. A boat travels 12 km upstream and 10 km... (answered by josgarithmetic)
A boat travels 25km/h in still water. If the boat goes upstream in a river flowing at a... (answered by josgarithmetic)
A boat travels 20 km/h in still water. If this boat goes upstream in a river flowing at a (answered by josgarithmetic,ikleyn)
A boat travels 20 km/h in still water. If this boat goes upstream in a river flowing at a (answered by mananth)