SOLUTION: Hi would you please help me solve my homework problem. A paddle boat can move at a speed of 20km/h in still water. The boat is paddled 18km downstream in a river in the same ti

Algebra.Com
Question 921393: Hi would you please help me solve my homework problem.
A paddle boat can move at a speed of 20km/h in still water. The boat is paddled 18km downstream in a river in the same time it takes to go 9km upstream. What is the speed of the river?
According to my teacher the anser is 20/3 km/h. Would you please show me the steps on how to solve this problem. Thank you.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
A paddle boat can move at a speed of 20km/h in still water. The boat is paddled 18km downstream in a river in the same time it takes to go 9km upstream. What is the speed of the river?
***
let c=speed of the river current
20+c=speed of paddle boat downstream
20-c=speed of paddle boat upstream
travel time=distance/speed
..

18(20-c)=9(20+c)
360-18c=180+9c
27c=180
c=6 2/3=20/3
speed of the river current=20/3 km/hr

RELATED QUESTIONS

A paddle boat can move at a speed of 20km/h in still water. The boat is paddles 10km... (answered by macston)
a paddle boat can move at a speed of 20km/h in still water. the boat is paddled 4km down... (answered by solver91311)
a paddle boat can move at the speed of 20 km/h in still water. the boat is paddled 12km... (answered by mananth)
I need help solving this problem. A paddle boat can move at a speed of 4km/h in still (answered by rothauserc)
a paddle boat can move at a speed of 10km in still water. the boat is paddled 4km... (answered by mananth)
A paddle boat can move at a speed of 4km/h in still water. The boat is paddled 121km... (answered by ewatrrr)
a boat paddle can move at a speed of 6km/h in still water. the boat is paddled 16km... (answered by mananth)
A paddle boat can move at a speed of 12 km/h in still water. The boat is paddled 6 km... (answered by checkley71,TakeATuition.com)
A paddle boat can move at a speed of 20 km/h in still water. The boat is paddled 14 km... (answered by mananth)