To find the speed of both cars, we can use the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Red Car
We need data from the graph to determine the distance traveled by the red car after a certain time. Assume you can extract specific values (for example, 270 miles after 5 hours, and so forth). If the total distance for the red car at 5 hours is also 270 miles, we can calculate its speed:
- Distance = 270 miles (at 5 hours)
- Time = 5 hours
Using the formula:
\[ \text{Speed of red car} = \frac{270 \text{ miles}}{5 \text{ hours}} = 54 \text{ miles per hour} \]
Blue Car
From the table provided:
- At 5 hours: 270 miles
- At 6 hours: 324 miles
- At 7 hours: 378 miles
We can calculate the speed for the blue car as well using the distance traveled at 5 hours:
- Distance = 270 miles (at 5 hours)
- Time = 5 hours
Using the formula:
\[ \text{Speed of blue car} = \frac{270 \text{ miles}}{5 \text{ hours}} = 54 \text{ miles per hour} \]
Comparison of Speeds
Now we can compare the speeds:
- Speed of red car: 54 mph
- Speed of blue car: 54 mph
Therefore, if both cars traveled the same distance in the same time, their speeds are equal.
Conclusion
The speed of the red car is 54 miles per hour.
The speed of the blue car is 54 miles per hour.
Thus, neither car is faster; they are both traveling at the same speed.