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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.

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Answer:

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:

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Answer:

The speed of Aro’s paddling and speed of river are  [tex]1.56[/tex] miles per hour and  [tex]0.52[/tex] miles per hour respectively.

Step-by-step explanation:

Given: 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.

Let [tex]x[/tex] be the speed of Aro's paddling miles per hour

And let [tex]y[/tex] be the speed of the river miles per hour

Now according to the question,

Case[tex]I:[/tex] Upstream

[tex]x-y=1.04 \ \ \ \ \ \ ....(1)[/tex]

Case [tex]II:[/tex] Downstream

[tex]x+y=2.08 \ \ \ \ \ \ ....(2)[/tex]

Adding equation (1) and (2) we get,

[tex]x-y+x+y=1.04+2.08\\[/tex]

                 [tex]2x=3.12\\&\ \ \ x=1.56[/tex]

Now substiuting the value of [tex]x=1.56[/tex] in equation (2)

[tex]1.56+y=2.08\\[/tex]

         [tex]y=2.08-1.56\\y=0.52[/tex]

Hence, the speed of Aro’s paddling is [tex]1.56[/tex] miles per hour and speed of river is [tex]0.52[/tex] miles per hour.

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https://brainly.com/question/17300107?referrer=searchResults

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