To solve the problem, we need to determine the car's speed in miles per minute and then calculate the distance it travels in the given times. Here's how we can solve it step by step:

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Step 1: Convert mixed numbers to improper fractions

• Distance traveled: $2 \frac{1}{2} = \frac{5}{2}$ miles
• Time taken: $3 \frac{1}{3} = \frac{10}{3}$ minutes

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Step 2: Calculate the speed in miles per minute

The speed is given by: $\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{\frac{5}{2}}{\frac{10}{3}} = \frac{5}{2} \cdot \frac{3}{10} = \frac{15}{20} = \frac{3}{4} \text{ miles per minute.}$

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Step 3: Calculate the distance for 39 minutes

Using the speed $\frac{3}{4}$ miles per minute, the distance in 39 minutes is: $\text{Distance} = \text{Speed} \times \text{Time} = \frac{3}{4} \times 39 = \frac{117}{4} = 29.25 \text{ miles.}$

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Step 4: Calculate the distance for 1 hour (60 minutes)

Using the same speed $\frac{3}{4}$, the distance in 60 minutes is: $\text{Distance} = \frac{3}{4} \times 60 = 45 \text{ miles.}$

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Final Answers:

1. Distance in 39 minutes: $29.25$ miles
2. Distance in 1 hour: $45$ miles

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Would you like a detailed explanation of any step or have further questions?

Here are 5 related questions to deepen your understanding:

1. How do you convert mixed numbers into improper fractions?
2. What is the process for dividing fractions?
3. How would you calculate speed if time and distance were given in different units?
4. How does the concept of unit rates apply to this problem?
5. What are some real-world examples of calculating distance using speed and time?

Tip: Always double-check units (e.g., minutes vs. hours) to ensure consistency in calculations!