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)

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)

• 10 mph
.50 mph
. 20 mph
• 60 mph

Answer 1

To find the average speed, we divide the total distance by the total time. Let's call the average speed on the first route x mph and on the second route y mph.

For the first route: Average speed = Total distance / Total time = 400 miles / 8 hours = 50 mph

For the second route: Average speed = Total distance / Total time = 420 miles / 7 hours = 60 mph

The average speed on the faster route is 60 mph, which is 10 mph higher than the average speed on the slower route. Therefore, the answer is 10 mph.