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.
