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Compare Proportions from Graphs & Equations Quick Check
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Question
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)
Responses

60 mph
60 mph

10 mph
10 mph

50 mph
50 mph

20 mph
20 mph
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Answer 1

To calculate the average speed for each route, you can use the formula:

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

**For the first route:**
- Distance = 400 miles
- Time = 8 hours

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

**For the second route:**
- Distance = 420 miles
- Time = 7 hours

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

Now, to find out how much higher the average speed is on the faster route (the second route) compared to the first route:

\[
\text{Difference in Speed} = 60 \text{ mph} - 50 \text{ mph} = 10 \text{ mph}
\]

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

The correct response is:

**10 mph**