You are going to drive to another state for a vacation. One route will take 8 hours to drive 420 miles, the other route will take 7 hours to drive 420 miles. You write 2 equations to try and figure out the average rate of speed you would travel on each route

Let's represent the average rate of speed for the first route as v1 (in miles per hour) and the average rate of speed for the second route as v2 (in miles per hour).

For the first route, the equation to calculate the average rate of speed is:

v1 = 420 miles / 8 hours
v1 = 52.5 miles per hour

For the second route, the equation to calculate the average rate of speed is:

v2 = 420 miles / 7 hours
v2 = 60 miles per hour

These equations allow you to determine the average rate of speed you would travel on each route.

its ju

420 divied by 8
and 420 divied by 7

Apologies for the misunderstanding. Let's correct the equations.

For the first route, the equation to calculate the average rate of speed is:

v1 = 420 miles / 8 hours
v1 = 52.5 miles per hour

For the second route, the equation to calculate the average rate of speed is:

v2 = 420 miles / 7 hours
v2 = 60 miles per hour

These equations represent the average rate of speed for each route.

To figure out the average rate of speed for each route, you can use the equation:

Average speed = Total distance ÷ Total time.

Let's calculate the average speed for each route using this equation:

For the first route:

Average speed = 420 miles ÷ 8 hours

Average speed = 52.5 miles per hour

For the second route:

Average speed = 420 miles ÷ 7 hours

Average speed = 60 miles per hour

Now you have calculated the average rate of speed for each route, with the first route having an average speed of 52.5 miles per hour, and the second route having an average speed of 60 miles per hour.