Question

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

Answer 1

To calculate the average rate of speed, we can use the formula: average speed = total distance / total time.

For the first route, where it takes 8 hours to drive 400 miles:
Average speed = 400 miles / 8 hours = 50 mph

For the second route, where it takes 7 hours to drive 420 miles:
Average speed = 420 miles / 7 hours = 60 mph

The average speed on the faster route is 60 mph, while the average speed on the slower route is 50 mph. Therefore, the average speed on the faster route is 10 mph higher.