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. round to the nearest hundredth as needed. upstream: downstream: let x be the speed of aro’s paddling and let y be the speed of the river. upstream: 1.04 = x – y downstream: 2.08 = x + y aro can paddle at a speed of miles per hour. the river’s speed is miles per hour.

Upstream:

x-y / 5

Downstream:

x+y / 2.5

Aro can paddle at a speed of 1.56 miles per hour

The rivers speed is .52 miles per hour

Step-by-step explanation:

edge 2021

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1