SOLUTION: Jon is kayaking in the Russian River which flows downstream at a rate of 1 mile per hour. He paddles 5 miles downstream and then turns around and paddles 6 miles upstream. The trip

Algebra ->  Test -> SOLUTION: Jon is kayaking in the Russian River which flows downstream at a rate of 1 mile per hour. He paddles 5 miles downstream and then turns around and paddles 6 miles upstream. The trip      Log On


   



Question 1127536: Jon is kayaking in the Russian River which flows downstream at a rate of 1 mile per hour. He paddles 5 miles downstream and then turns around and paddles 6 miles upstream. The trip takes 3 hours. How fast can Jon paddle in still water?
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x = Jon's speed in still water.


Then the time equation, from the condition, is


5%2F%28x%2B1%29 + 6%2F%28x-1%29 = 3   hours.


Solve it for x.


To start, multiply all the terms by (x-1)*(x+1).


Answer.   x,  or Jon' speed in still water, is  4  km/h.