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

20 mph
20 mph

10 mph
10 mph

50 mph
50 mph

60 mph
The average speed on the first route can be calculated by dividing the distance by the time:
Average speed on first route = 400 miles/8 hours = 50 mph
The average speed on the second route can be calculated in the same way:
Average speed on second route = 420 miles/7 hours = 60 mph
The average speed on the faster route is 60 mph and the average speed on the slower route is 50 mph. Therefore, the average speed on the faster route is 10 mph higher.
To calculate the average speed, you can divide the total distance by the total time taken.
For the first route:
Average speed = Total distance / Total time
Average speed = 400 miles / 8 hours
Average speed = 50 mph
For the second route:
Average speed = Total distance / Total time
Average speed = 420 miles / 7 hours
Average speed = 60 mph
Therefore, the average speed on the faster route is 60 mph, which is 10 mph higher than the average speed on the slower route.
To calculate the average speed, you can use the formula:
Average Speed = Total Distance / Total Time
For the first route, the total distance is 400 miles and the total time is 8 hours. So the average speed for the first route can be calculated as:
Average Speed = 400 miles / 8 hours = 50 mph
For the second route, the total distance is 420 miles and the total time is 7 hours. So the average speed for the second route can be calculated as:
Average Speed = 420 miles / 7 hours = 60 mph
Therefore, the average speed on the faster route is 60 mph, which is 10 mph higher than the average speed on the slower route.