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Evaluate the following scenario:

- A red car travels 100 miles over 4 hours.
- A blue car travels 50 miles over 5 hours.
- A green car travels 120 miles over 3 hours.
- A white car travels 30 miles over 2 hours.

Which car traveled at the fastest average speed?



Answer :

GinnyAnswer
To determine which car traveled at the fastest average speed, we need to calculate the average speed for each car using the formula:

[tex]\[ \text{Average Speed} = \frac{\text{Distance Traveled}}{\text{Time Traveled}} \][/tex]

### Step-by-Step Calculation

1. Red Car:
- Distance Traveled: 100 miles
- Time Traveled: 4 hours
- Average Speed: [tex]\(\frac{100 \text{ miles}}{4 \text{ hours}} = 25.0 \text{ miles per hour}\)[/tex]

2. Blue Car:
- Distance Traveled: 50 miles
- Time Traveled: 5 hours
- Average Speed: [tex]\(\frac{50 \text{ miles}}{5 \text{ hours}} = 10.0 \text{ miles per hour}\)[/tex]

3. Green Car:
- Distance Traveled: 120 miles
- Time Traveled: 3 hours
- Average Speed: [tex]\(\frac{120 \text{ miles}}{3 \text{ hours}} = 40.0 \text{ miles per hour}\)[/tex]

4. White Car:
- Distance Traveled: 30 miles
- Time Traveled: 2 hours
- Average Speed: [tex]\(\frac{30 \text{ miles}}{2 \text{ hours}} = 15.0 \text{ miles per hour}\)[/tex]

### Comparison
Now that we have calculated the average speeds for each car, let's compare them:

- Red Car: 25.0 miles per hour
- Blue Car: 10.0 miles per hour
- Green Car: 40.0 miles per hour
- White Car: 15.0 miles per hour

Among these speeds, the fastest average speed is 40.0 miles per hour, which belongs to the Green Car.

### Conclusion
The car that traveled at the fastest average speed is the Green Car with an average speed of 40.0 miles per hour.

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