Question

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

20 mph
20 mph

60 mph
60 mph

10 mph
10 mph

50 mph

Answer 1

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

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

**Calculating the average speed for each route:**

1. **First route:**
- Distance = 400 miles
- Time = 8 hours

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

2. **Second route:**
- Distance = 420 miles
- Time = 7 hours

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

**Finding the difference in average speed:**

To find how much higher the average speed is on the faster route compared to the slower one, we subtract the average speed of the first route from the average speed of the second route:

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

Thus, the average speed is **10 mph** higher on the faster route.

The correct response is:
**10 mph**