Which rate of speed is higher. A car completing a 500-mi race in 3 1/3 hours or a car completing a 300-hours in about 2 1/2 hours
500/3.3 = 151.5 miles per hour
300/2.5 = 120 miles/hour
I assume you mean a 300 mile race.
500/3.33 = 150.15 mph
300/2.5 = 120 mph
To determine which rate of speed is higher, we need to compare the speeds at which the two cars completed their respective races.
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.