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

Question

3 years ago

8

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?
about 35 miles
about 33 miles
about 39 miles
about 37 miles

Mathematics

1 answer:

VARVARA [1.3K] · Answer 1 · 2022-11-24T12:32:38+03:00

Answer:

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.