A person is canoeing on a river. Her overall speed is 3.4 mile(s) per hour up river and 5.6 mile(s) per hour down river. Find th

Question

3 years ago

14

e speed of the river's current and the speed the person can paddle in still water.

1 answer:

PIT_PIT [208] · Answer 1 · 2022-07-08T02:05:59+03:00

5 0

Answer:

a) $v_{river} = 1.1\,mph$ , b) $v_{person} =4.5\,mph$

Step-by-step explanation:

Overall speeds up river and down river are modelled by following expressions:

Up River

$-3.4\,mph = v_{river} - v_{person}$

Down River

$5.6\,mph=v_{river} + v_{person}$

After some algebraic manipulations, speeds are found:

$v_{river} = 1.1\,mph$

$v_{person} =4.5\,mph$