Algebra-2

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

Key Concept Explanation
The total time for the round trip is the sum of the time taken for each leg of the journey. The time for each leg is given by the distance divided by the speed.

Step-by-step Solution
1. Let the speed of the car on the way to the destination be miles per hour.
2. The speed on the return trip is miles per hour.
3. The time for the trip to the destination is hours.
4. The time for the return trip is hours.
5. The total time for the round trip is 5 hours, so we set up the equation: .
6. Find a common denominator: .
7. Multiply each term by the common denominator: .
8. Simplify and solve for : .
9. Rearrange terms:

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