8. Kaplee drove her scooter at an average speed of 15 miles per hour and was 5 miles ahead of Sophia. Sophia drove her scooter at an average speed of 20 miles per hour. This situation can be represented with the system $$ y=15 x+5 $$ and $$ y=20 x $$, where $$ x $$ is the nurmber of hours and is the number of miles from the starting point. After how many hours are kaylee and sophia the same distance from the starting point?

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To determine after how many hours Kaylee and Sophia will be the same distance from the starting point, let's analyze the given information using the provided equations.

### Given:
- **Kaylee's Distance:** $$ y = 15x + 5 $$
  - *15 miles per hour* is her speed.
  - She has a *5-mile head start*.
  
- **Sophia's Distance:** $$ y = 20x $$
  - *20 miles per hour* is her speed.

Here, $$ x $$ represents the number of hours, and $$ y $$ represents the distance from the starting point.

### Setting the Equations Equal:
To find when both are the same distance from the start, set Kaylee's distance equal to Sophia's distance:

$$
15x + 5 = 20x
$$

### Solving for $$ x $$:
1. **Subtract $$ 15x $$ from both sides:**
   $$
   5 = 5x
   $$
   
2. **Divide both sides by 5:**
   $$
   x = 1
   $$

### Conclusion:
After **1 hour**, Kaylee and Sophia will be at the same distance from the starting point.

**Answer:**  
After 1 hour, Kaylee and Sophia are the same distance from the starting point.
After 1 hour, Kaylee and Sophia are the same distance from the starting point.

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