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)
To find the average speed on each route, we 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 would be:
Average speed = 400 miles / 8 hours = 50 miles/hour
For the second route, the total distance is 420 miles and the total time is 7 hours, so the average speed would be:
Average speed = 420 miles / 7 hours = 60 miles/hour
The average speed on the faster route is 60 miles/hour, and on the slower route is 50 miles/hour. The average speed on the faster route is thus 10 miles/hour higher.