You are going to drive to another state for a vacation one route take 8 hours to drive 400 miles and the other Rock will take 7 hours to drive 420 you write two equation 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 assume that the average speed on the first route is x miles per hour, and the average speed on the second route is y miles per hour.
We can use the formula speed = distance / time to create two equations:
For the first route:
x = 400 miles / 8 hours
x = 50 miles per hour
For the second route:
y = 420 miles / 7 hours
y = 60 miles per hour
To find out how much higher your average speed will be on the faster route, we subtract the average speed on the first route from the average speed on the second route:
Difference in average speeds = y - x
Difference in average speeds = 60 mph - 50 mph
Difference in average speeds = 10 mph
So, your average speed will be 10 mph higher on the faster route.