You are going to drive to another state for vacation. One route will take eight hours to drive 400 miles and the other route will take seven hours to drive 420 miles ride the 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?
Let's denote the average speed on the first route as "x" miles per hour, and the average speed on the second route as "y" miles per hour.
Using the equation: average speed = total distance / total time, we can form equations for each route:
First route:
x = 400 miles / 8 hours
x = 50 mph
Second route:
y = 420 miles / 7 hours
y = 60 mph
Therefore, on the first route, the average speed would be 50 mph, and on the second route, the average speed would be 60 mph.
To determine how much higher the average speed is on the faster route, we subtract the average speed of the first route from the average speed of the second route:
60 mph - 50 mph = 10 mph
Thus, the average speed on the faster route is 10 mph higher than on the slower route.