Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back downstream with the current. His campsite destination is 5.2 miles upstr


Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back downstream with the current. His campsite destination is 5.2 miles upstream. Determine how fast Aro can paddle and how fast the river water is moving.

Upstream:

Downstream:

Use the fact that d = rt to write the system of equations that represents the scenario. Let x be the speed of Aro’s paddling and let y be the speed of the river.

Upstream:

5.2 = ((x)(y)x/yx + yx – y)2.55.25

Downstream:

5.2 = ((x)(y)x/yx + yx – y)2.55.25