https://file.aiquickdraw.com/mathbot/file/1726318907335sj2xabr9.jpg

The problem presented in the image involves two cars:

1. **Car A** leaves a town traveling at a speed of 80 kilometers per hour.
2. **Car B** leaves 1 hour later, traveling at a speed of 115 kilometers per hour.

The question is asking how long it will take for **Car B** to catch up to **Car A**.

Let's break this down:

### Step-by-Step Solution:

- **Distance covered by Car A in 1 hour**:  
Since Car A is traveling at 80 kilometers per hour, in 1 hour, it will cover \( 80 \text{ km} \).

- **Relative speed between the two cars**:  
Car B is traveling at \( 115 \text{ km/h} \), and Car A is traveling at \( 80 \text{ km/h} \). So, the relative speed between the two cars is:
\[
115 - 80 = 35 \text{ km/h}
\]

- **Time required for Car B to catch Car A**:  
The time required for Car B to cover the 80 km lead that Car A has gained is given by:
\[
\text{Time} = \frac{\text{Distance}}{\text{Relative Speed}} = \frac{80}{35} \approx 2.29 \text{ hours}
\]

Thus, the answer is \( 2.29 \) hours, which matches the value shown in the screenshot.

Would you like further clarification or details on any part of the solution?

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Here are five related questions for further practice:
1. If Car A was traveling at 90 km/h and Car B at 110 km/h, how long would it take Car B to catch up if Car A leaves 2 hours earlier?
2. What would happen if both cars traveled at the same speed, but Car B left 1 hour later?
3. If Car A had traveled at 60 km/h, how much longer would it take for Car B to catch up?
4. How far would Car B have traveled by the time it catches Car A?
5. If Car B increased its speed by 10 km/h, how much faster would it catch up to Car A?

**Tip**: Always remember that in problems involving relative speed, it's essential to subtract the speeds of objects moving in the same direction.

A car leaves a town at 80 kilometers per hour. How long will it take a second car, traveling at 115 kilometers per hour, to catch the first car if it leaves 1 hour later?

This math problem involves calculating the time it takes for one car, traveling at 115 km/h, to catch another car moving at 80 km/h after a 1-hour head start. Learn the step-by-step solution using speed, distance, and relative speed concepts.

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