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 will travel on each route. How much higher will your average speed be on the fastest route?

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 will travel on each route. How much higher will your average speed be on the fastest route?

50 mph
20 mph
10 mph
60 mph

Answer 1

To calculate the average speed, we can use the formula: Average Speed = Total Distance / Total Time.

For the first route, the average speed is: 400 miles / 8 hours = 50 mph.

For the second route, the average speed is: 420 miles / 7 hours = 60 mph.

So, the average speed on the fastest route will be 10 mph higher than the slower route.