You are going to drive to another state for a vacation. One route will take 8 hours to drive 400 miles, and the other route will take 7 hours to drive 420 miles. You write two equations to try and figure out the average rate of speed you would travel on each route. How much higher will your average speed be on the faster route?(1 point)
Responses
60 mph
60 mph
20 mph
20 mph
50 mph
50 mph
10 mph
The correct answer is: 10 mph.
To find the average speed (rate) for each route, you can use the formula:
Average Speed = Total Distance / Total Time
For the first route, with a distance of 400 miles and a time of 8 hours:
Average Speed = 400 miles / 8 hours = 50 mph
For the second route, with a distance of 420 miles and a time of 7 hours:
Average Speed = 420 miles / 7 hours = 60 mph
To determine how much higher your average speed will be on the faster route, you subtract the average speed of the slower route from the average speed of the faster route:
Difference = Faster Route - Slower Route
Difference = 60 mph - 50 mph
Difference = 10 mph
Therefore, your average speed will be 10 mph higher on the faster route.
To figure out the average rate of speed on each route, we can use the formula:
Average speed = Total distance / Total time taken
For the first route:
Average speed = 400 miles / 8 hours
Average speed = 50 mph
For the second route:
Average speed = 420 miles / 7 hours
Average speed = 60 mph
The average speed on the second route is 10 mph higher than on the first route.