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 point)

To find the average speed for each route, we can use the formula for average speed:

\[ \text{Average Speed} = \frac{\text{Distance}}{\text{Time}} \]

For the first route:

• Distance = 400 miles
• Time = 8 hours

\[ \text{Average Speed}_1 = \frac{400 \text{ miles}}{8 \text{ hours}} = 50 \text{ mph} \]

For the second route:

• Distance = 420 miles
• Time = 7 hours

\[ \text{Average Speed}_2 = \frac{420 \text{ miles}}{7 \text{ hours}} = 60 \text{ mph} \]

Now, to find the difference in average speeds:

\[ \text{Difference} = \text{Average Speed}_2 - \text{Average Speed}_1 = 60 \text{ mph} - 50 \text{ mph} = 10 \text{ mph} \]

So, the average speed will be 10 mph higher on the faster route.

The correct response is:

10 mph