## A canoe in still water travels at a rate of 12 miles per hour. The current today is traveling at a rate of 2 miles per hour. If it took an e

Question

A canoe in still water travels at a rate of 12 miles per hour. The current today is traveling at a rate of 2 miles per hour. If it took an extra hour to travel upstream, how far was the trip one way?

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3 years 2021-08-31T05:08:25+00:00 1 Answers 26 views 0

It’s 60miles

Step-by-step explanation:

We assume the trip is “d” miles and that the “extra hour” refers to the additional time that a current of 2 mph would add. That is, we assume the reference time is for a current of 0 mph.

The time with no current is …

time1 = distance/speed

time1 = d/12 . . . . hours

With a current of 2 mph in the opposite direction, the time is …

time2 = d/(12 -2) = d/10

The second time is 1 hour longer than the first, so we have …

time2 = 1 + time1

d/10 = 1 + d/12

6d = 60 + 5d . . . . multiply by 60

d = 60 . . . . . . . . . subtract 5d

The one-way distance is 60 miles.