Unformatted text preview: the river, so let’s call that R (measured in miles per hour
to be consistent with the other rate given to us.) To get started, let’s divide the trip into its two
parts: the initial trip downstream and the return trip upstream. For the downstream trip, all we
know is that the distance traveled is 5 miles.
distance downstream = rate traveling downstream · time traveling downstream
5 miles = rate traveling downstream · time traveling downstream
Since the return trip upstream followed the same route as the trip downstream, we know the
distance traveled upstream is also 5 miles.
distance upstream = rate traveling upstream · time traveling upstream
5 miles = rate traveling upstream · time traveling upstream
We are told Carl can canoe at a rate of 6 miles per hour in still water. How does this ﬁgure
into the rates traveling upstream and downstream? The speed the canoe travels in the river is a
combination of the speed at which Carl can propel the canoe in still water, 6 miles per hour, and
the speed of the river,...
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