Let's denote the average rate of speed on the first route as "x" (in mph), and the average rate of speed on the second route as "y" (in mph).
For the first route, we have the equation:
x = 400 miles / 8 hours
Simplifying this equation gives:
x = 50 mph
For the second route, we have the equation:
y = 420 miles / 7 hours
Simplifying this equation gives:
y = 60 mph
To calculate how much higher the average speed will be on the faster route, we need to find the difference between the two speeds:
Difference = y - x
Difference = 60 mph - 50 mph
Difference = 10 mph
Therefore, the average speed will be 10 mph higher on the faster route.
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 answer