Algebra-1

Question Analysis
This question tests the student's ability to set up and solve a system of linear equations based on a real-world word problem involving travel. The key is to translate the given information into two equations and then solve for the unknowns.

Key Concept Explanation
The problem involves setting up a system of linear equations to represent the relationship between the speeds of Alice and Bob and the total distance covered. The equations are derived from the total distance and the difference in their speeds.

Step-by-step Solution
1. Define the variables: Let be Bob's speed in miles per hour and be Alice's speed in miles per hour.
2. Formulate the first equation based on the total distance: .
3. Formulate the second equation based on the difference in their speeds: .
4. Substitute into the first equation: .
5. Simplify and solve for :

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