$$\frac{1 \frac{1}{2} \text{ miles}}{\frac{1}{4} \text{ hour}} = \frac{x \text{ miles}}{1 \text{ hour}}$$

Solving the Proportion

To solve the proportion, we can cross-multiply and simplify:

$$1 \frac{1}{2} \text{ miles} \cdot 1 \text{ hour} = x \text{ miles} \cdot \frac{1}{4} \text{ hour}$$

$$\frac{3}{2} \text{ miles} = \frac{x}{4} \text{ miles}$$

Now, we can multiply both sides by 4 to solve for x:

$$x = 4 \cdot \frac{3}{2} \text{ miles}$$

$$x = 6 \text{ miles}$$

Conclusion

Therefore, Tatum can hike 6 miles in one hour.

Answer

The correct answer is:

• B. Tatum can hike 6 miles in one hour.

Discussion

This problem demonstrates the importance of converting units and setting up proportions to solve real-world problems. By converting the time from minutes to hours and setting up a proportion, we were able to find the distance Tatum can hike in one hour.

Additional Examples

Here are a few additional examples of how to use proportions to solve real-world problems:

• If a car travels 250 miles in 5 hours, how far can it travel in 10 hours?
• If a person can eat 2 pounds of pizza in 30 minutes, how much pizza can they eat in 1 hour?
• If a bike travels 20 miles in 1 hour, how far can it travel in 2 hours?

These examples demonstrate the versatility of proportions and how they can be used to solve a wide range of real-world problems.

Conclusion

Introduction

In our previous article, we explored the concept of distance and time, and used a real-life scenario to demonstrate how to calculate the distance Tatum can hike in one hour. In this article, we will answer some frequently asked questions related to the topic.

Q&A

Q: What is the formula to calculate the distance Tatum can hike in one hour?

A: The formula to calculate the distance Tatum can hike in one hour is:

$$\text{Distance} = \frac{\text{Distance in 15 minutes}}{\frac{1}{4} \text{ hour}} \cdot 1 \text{ hour}$$

Q: How do I convert 15 minutes to hours?

A: To convert 15 minutes to hours, you can divide 15 by 60, which gives you $\frac{1}{4}$ hour.

Q: What is the importance of setting up a proportion in this problem?

A: Setting up a proportion is important in this problem because it allows us to relate the time and distance. By setting up a proportion, we can easily solve for the distance Tatum can hike in one hour.

Q: Can I use this method to solve other problems?

A: Yes, you can use this method to solve other problems that involve distance and time. Just remember to convert the time from minutes to hours and set up a proportion.

Q: What if I don't know the distance Tatum can hike in 15 minutes?

A: If you don't know the distance Tatum can hike in 15 minutes, you can use other methods to solve the problem. For example, you can use the formula:

$$\text{Distance} = \text{Speed} \cdot \text{Time}$$

Q: Can I use this method to solve problems that involve different units of time?

A: Yes, you can use this method to solve problems that involve different units of time. Just remember to convert the time from the given unit to hours.

Q: What if I get stuck on a problem?

A: If you get stuck on a problem, try breaking it down into smaller steps. Start by converting the time from minutes to hours, and then set up a proportion. If you still get stuck, try using a different method or seeking help from a teacher or tutor.

Additional Tips

Here are some additional tips to help you solve problems like this:

• Make sure to read the problem carefully and understand what is being asked.
• Use a pencil and paper to work out the problem step by step.
• Check your work by plugging in the answer to the original problem.
• Don't be afraid to ask for help if you get stuck.

Conclusion

In conclusion, this article has answered some frequently asked questions related to the topic of distance and time. By following the steps outlined in this article, you should be able to solve problems like this with ease. Remember to always read the problem carefully, use a pencil and paper to work out the problem step by step, and check your work by plugging in the answer to the original problem.

Common Mistakes

Here are some common mistakes to avoid when solving problems like this:

• Not converting the time from minutes to hours.
• Not setting up a proportion.
• Not checking the work by plugging in the answer to the original problem.
• Not using a pencil and paper to work out the problem step by step.

Conclusion

In conclusion, this article has provided some additional tips and common mistakes to avoid when solving problems like this. By following the steps outlined in this article and avoiding the common mistakes, you should be able to solve problems like this with ease.