Two students are canoeing on a river. While heading upstream, they accidentally drop an empty bottle overboard. They then continue paddling for 1 h, reaching a point 2 Km farther upstream. At this point they realize that the bottle is missing and, driven by ecological awareness, they turn around and head downstream. They catch up with and retrieve the bottle (which has been moving along with the current) 5 Km downstream from the turn-around point.
I am wondering if the setup in my picture is correct. I have my work on there.
The Attempt at a Solution
Vc/w = velocity of the canoe relative to the water.
Vc/e= velocity of the canoe relative to the earth.
Vw/e= velocity of the water relative to the earth.
Vc/e=Vc/w + Vw/e