SOLUTION: 11. Alvin paddled for 2 hours with a 6-km/h current to reach a campsite. The return trip against the same current took 8 hours.Find the speed of the boat in still water.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: 11. Alvin paddled for 2 hours with a 6-km/h current to reach a campsite. The return trip against the same current took 8 hours.Find the speed of the boat in still water.      Log On

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Question 874894: 11. Alvin paddled for 2 hours with a 6-km/h current to reach a campsite. The return trip against the same current took 8 hours.Find the speed of the boat in still water.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Boat speed speed x km/h
current speed 6 km/h
..
against current x- 6
with current x+ 6
..
against current 8 hours
with current 6 hours
Distance is same. D=r*t
8 ( x - 6 ) = 6 ( x + 6 )
8 x - 48 = 6 x + 36
8 x - 6 x = 48 + 36
2 x = 84
/ 2
x = 42 km/h
Boat speed speed = 42 km/h