Two drivers Ann and Bob leave at the same time driving from point A to Point B is a distance of 629 miles. Anne drives a speed of 65 miles per hour and Bob drives 71 miles per hour. Bob stops for an hour break.  Who will get there first? How long will the person be waiting for the other driver?

Let's break down the problem step by step to determine who will arrive at point B first and how long they will wait for the other driver.

### Step 1: Calculate the travel time for Ann
Ann drives at a speed of 65 miles per hour over a distance of 629 miles.

\[
\text{Time taken by Ann} = \frac{\text{Distance}}{\text{Speed}} = \frac{629 \text{ miles}}{65 \text{ miles/hour}} \approx 9.68 \text{ hours}
\]

### Step 2: Calculate the travel time for Bob
Bob drives at a speed of 71 miles per hour over the same distance but takes a 1-hour break.

\[
\text{Time taken by Bob (without break)} = \frac{\text{Distance}}{\text{Speed}} = \frac{629 \text{ miles}}{71 \text{ miles/hour}} \approx 8.86 \text{ hours}
\]

Now, including the 1-hour break:

\[
\text{Total time taken by Bob} = 8.86 \text{ hours} + 1 \text{ hour} = 9.86 \text{ hours}
\]

### Step 3: Determine who arrives first and the waiting time
- Ann's total time: 9.68 hours
- Bob's total time: 9.86 hours

Since Ann's time (9.68 hours) is less than Bob's time (9.86 hours), Ann will arrive at point B first.

### Step 4: Calculate the waiting time
The waiting time is the difference between Bob's time and Ann's time:

\[
\text{Waiting time} = 9.86 \text{ hours} - 9.68 \text{ hours} = 0.18 \text{ hours}
\]

\[
0.18 \text{ hours} \times 60 \text{ minutes/hour} = 10.8 \text{ minutes}
\]

### Conclusion:
- **Ann will get to point B first.**
- **She will wait approximately 10.8 minutes for Bob to arrive.**

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. What would happen if Bob didn’t take a break?
2. How much faster would Ann need to drive to arrive at the same time as Bob?
3. What would be the waiting time if the distance was 1000 miles?
4. How much longer would it take if either driver reduced their speed by 5 mph?
5. What impact would additional breaks have on their travel times?

**Tip:** When comparing times and distances, always remember to include any additional factors like breaks or delays to get an accurate comparison.

Two drivers Ann and Bob leave at the same time driving from point A to Point B is a distance of 629 miles. Anne drives a speed of 65 miles per hour and Bob drives 71 miles per hour. Bob stops for an hour break. Who will get there first? How long will the person be waiting for the other driver?

Discover who arrives first when Ann and Bob travel from point A to point B over 629 miles with different speeds. This problem involves calculating travel time and waiting time, perfect for students in Grades 6-8.

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