The California speedway hosts automobile races. Which rate of speed is higher: a car completing a 500 mi race in about 3 1/3 h or a car completing a 300 mi race in about 2 1/2 h?
500 / 3.3 = 151.52 mph
300 / 2.5 = 120 mph
This helped
To compare the rates of speed, we need to find the average speeds of both cars. Average speed is calculated by dividing the total distance traveled by the time taken.
First, let's find the average speed of the car completing the 500 mi race in about 3 1/3 (or 3.33) hours:
Average speed = Total distance / Time taken
Average speed = 500 mi / 3.33 h = 150.15 mi/h
Now, let's find the average speed of the car completing the 300 mi race in about 2 1/2 (or 2.5) hours:
Average speed = Total distance / Time taken
Average speed = 300 mi / 2.5 h = 120 mi/h
Comparing the two average speeds, we find that the car completing the 500 mi race in about 3 1/3 hours has a higher average speed of 150.15 mi/h compared to the car completing the 300 mi race in about 2 1/2 hours with an average speed of 120 mi/h.
To determine the higher rate of speed, you need to calculate the average speed for each car. Average speed is calculated by dividing the total distance covered by the total time taken.
Let's first calculate the average speed for the car that completes a 500 mi race in about 3 1/3 hours.
Average Speed = Total Distance / Total Time
Total Distance = 500 miles
Total Time = 3 1/3 hours = 3.33 hours
Average Speed = 500 miles / 3.33 hours
Next, let's calculate the average speed for the car that completes a 300 mi race in about 2 1/2 hours.
Average Speed = Total Distance / Total Time
Total Distance = 300 miles
Total Time = 2 1/2 hours = 2.5 hours
Average Speed = 300 miles / 2.5 hours
Now, we can compare the two average speeds to determine which rate of speed is higher.