Suppose you are driving. You notice that after driving for 6 hours, you are 465 miles from Seattle. You continue driving, and calculate that after driving 9 hours you are 690 miles from Seattle. how far do you drive every 5 hours

To solve this problem, we first need to determine your driving speed, which is constant. We can use the information provided about the distances and times to calculate the speed and then find out how far you drive in a different time frame (5 hours).

### Step 1: Find the speed
We have two points in time with distances from Seattle:

- After 6 hours, you are 465 miles from Seattle.
- After 9 hours, you are 690 miles from Seattle.

The change in distance over the change in time will give us the speed:
\[
\text{Speed} = \frac{\text{Change in distance}}{\text{Change in time}}
\]

The change in distance is \( 690 - 465 = 225 \) miles, and the change in time is \( 9 - 6 = 3 \) hours. So the speed is:
\[
\text{Speed} = \frac{225 \text{ miles}}{3 \text{ hours}} = 75 \text{ miles per hour}
\]

### Step 2: Find the distance driven in 5 hours
Now that we know your speed is 75 miles per hour, we can calculate how far you drive in 5 hours using the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
Substitute the values:
\[
\text{Distance} = 75 \text{ miles/hour} \times 5 \text{ hours} = 375 \text{ miles}
\]

### Final Answer
You drive **375 miles** every 5 hours.

Would you like to see more details or have any questions?

Here are 5 related questions:
1. What would be your total distance after driving for 10 hours?
2. How would the distance change if your speed increased by 10 miles per hour?
3. If you started at a different distance from Seattle, how would that affect your travel time?
4. How can you calculate the time taken to reach a specific distance?
5. What is the formula for distance if the speed varies over time?

**Tip:** When dealing with problems involving constant speed, always use the formula \(\text{Distance} = \text{Speed} \times \text{Time}\) to find unknown values.

Suppose you are driving. You notice that after driving for 6 hours, you are 465 miles from Seattle. You continue driving, and calculate that after driving 9 hours you are 690 miles from Seattle. How far do you drive every 5 hours?

Solve this real-world problem: How far do you drive in 5 hours if you know your speed? After 6 hours, you are 465 miles from Seattle, and after 9 hours, you are 690 miles away. Learn how to calculate distance using the formula Distance = Speed × Time. Suitable for Grades 6-8.

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