SOLUTION: A Paddleboat can move at the speed of 8km/hr in still water. The boat is paddled 10km downstream in the same time it takes to go 5km upstream. What is the speed of the river

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Question 587636: A Paddleboat can move at the speed of 8km/hr in still water. The boat is paddled 10km downstream in the same time it takes to go 5km upstream. What is the speed of the river
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Boat speed = 8 km/h
current speed = x km/h

speed against current 8 - x
speed with current 8 + x

Distance against current 5 km
Distance with current 10 km

t=d/r time against = time with current
5/(8-x)=10/(8+x)
5(8+x)= 10(8-x)
40+5x=80-10x
10x+5x =80-40
15x=40
/ 15 check
x = 2.67 km/h current speed