500/3.3 = 151.5 miles per hour
300/2.5 = 120 miles/hour
300/2.5 = 120 miles/hour
500/3.33 = 150.15 mph
300/2.5 = 120 mph
Let's start with the first car that completed a 500-mile race in 3 1/3 hours. To find the average speed, we divide the total distance by the time taken:
Average speed = Total distance / Time taken
For the first car:
Average speed = 500 miles / 3 1/3 hours
To perform this calculation, we need to convert the mixed number (3 1/3) to a fraction. We can do this by multiplying the whole number (3) by the denominator (3) and adding the numerator (1). Then, we place the result over the denominator.
3 1/3 = (3 * 3 + 1) / 3 = 10/3
So, the calculation becomes:
Average speed = 500 miles / (10/3) hours
Now, we need to divide the total distance (500 miles) by the fraction (10/3):
Average speed = 500 miles * (3/10)
Performing the multiplication:
Average speed = 1500/10
Average speed = 150 miles per hour
Therefore, the average speed of the first car is 150 miles per hour.
Now, let's move on to the second car, which completed a 300-mile race in about 2 1/2 hours. We'll follow the same steps:
Average speed = Total distance / Time taken
For the second car:
Average speed = 300 miles / 2 1/2 hours
Converting the mixed number to a fraction:
2 1/2 = (2 * 2 + 1) / 2 = 5/2
The calculation becomes:
Average speed = 300 miles / (5/2) hours
Dividing the total distance (300 miles) by the fraction (5/2):
Average speed = 300 miles * (2/5)
Performing the multiplication:
Average speed = 600/5
Average speed = 120 miles per hour
So, the average speed of the second car is 120 miles per hour.
Comparing the two speeds, we find that the car completing the 500-mile race in 3 1/3 hours has a higher speed of 150 miles per hour, compared to the car completing the 300-mile race in about 2 1/2 hours, which has a speed of 120 miles per hour.