Algebra-2

Question Analysis
This problem assesses the ability to solve rational equations in a real-world context.

Key Concept Explanation
The key concept is to set up and solve a rational equation based on the given information about the cyclist's trip.

Step-by-step Solution
1. Let be the speed of the cyclist on the way to the destination.
2. The time taken to travel 40 miles to the destination is .
3. The time taken to travel 40 miles back is .
4. The total time for the round trip is 5 hours, so we set up the equation: .
5. Find a common denominator: .
6. Multiply each term by the common denominator: .
7. Simplify and solve for :

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