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
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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) (Show Source):
Let x = Jon's speed in still water.
Then the time equation, from the condition, is
+ = 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.