?When Trina kayaks upriver, it takes her \(\frac{5}{3-c}\) hours to go 5 miles, where c

Chapter 8, Problem 252

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When Trina kayaks upriver, it takes her \(\frac{5}{3-c}\) hours to go 5 miles, where c is the speed of the river current. It takes her \(\frac{5}{3+c}\) hours to kayak 5 miles down the river.

(a) Find an expression for the number of hours it would take Trina to kayak 5 miles up the river and then return by adding \(\frac{5}{3-c}+\frac{5}{3+c}\).

(b) Evaluate your answer to part (a) when c = 1 to find the number of hours it would take Trina if the speed of the river current is 1 mile per hour.

Text Transcription:

5/3-c

5/3+c

5/3-c + 5/3+c

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