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

50 mph

60 mph

10 mph

20 mph

1 answer

To calculate the average speed for each route, we can use the formula: average speed = total distance / total time.

For the first route, with a distance of 400 miles and a driving time of 8 hours, the average speed can be calculated as follows:
average speed = 400 miles / 8 hours = 50 mph

For the second route, with a distance of 420 miles and a driving time of 7 hours, the average speed can be calculated as follows:
average speed = 420 miles / 7 hours = 60 mph

The difference in average speeds between the two routes is:
60 mph - 50 mph = 10 mph

Therefore, the average speed will be 10 mph higher on the faster route.