Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 70 miles an hour. Don noticed that 4 hours into the trip they were 675 miles from the destination.



We can analyze the given information to figure out a few key details about Don and Ana's trip.

### What do we know?
1. Don and Ana are driving at a constant speed of 70 miles per hour.
2. After 4 hours of driving, they are 675 miles away from their destination.

### Steps to solve:
1. **Distance covered in 4 hours**: Since they are driving at a constant speed of 70 miles per hour, the distance they would have traveled in 4 hours is:

\[
\text{Distance traveled} = 70 \, \text{miles/hour} \times 4 \, \text{hours} = 280 \, \text{miles}
\]

2. **Initial distance from the destination**: If after 4 hours they are still 675 miles away, then the initial distance to the destination (before they started driving) was:

\[
\text{Initial distance} = \text{Distance remaining} + \text{Distance already traveled} = 675 \, \text{miles} + 280 \, \text{miles} = 955 \, \text{miles}
\]

Therefore, the initial distance from their starting point to their destination was 955 miles.

Would you like more details or have any questions? Here are five related questions you might consider:

1. How much longer will it take them to reach their destination at the same speed?
2. If they take a break after 6 hours of driving, how far will they be from the destination?
3. How long would it take them to reach the halfway point of their journey?
4. What would happen if they increased their speed to 80 miles per hour after the first 4 hours?
5. How far would they have traveled in total after 8 hours of driving?

**Tip**: When dealing with speed and distance problems, break them down step by step by first calculating the distance traveled and then analyzing remaining distances.

Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 70 miles an hour. Don noticed that 4 hours into the trip they were 675 miles from the destination.

Learn how to solve a real-world problem where Don and Ana drive at a constant speed of 70 miles per hour. After 4 hours, they are 675 miles away from their destination. This problem involves key concepts of distance, rate, and time, and is suitable for Grades 6-8.

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