To determine which explanation about the distance that Tamar rode and Leah walked is true, we need to compare the distances in the same unit. Here are the step-by-step details:
1. Determine Leah’s distance in miles:
- Leah walked 15,840 feet.
- There are 5,280 feet in a mile.
- Convert feet to miles: [tex]\( \frac{15840 \text{ feet}}{5280 \text{ feet/mile}} = 3 \text{ miles} \)[/tex].
2. Determine Tamar’s distance in miles:
- Tamar rode 3 miles on her bike.
3. Comparison:
- Leah walked 3 miles.
- Tamar rode 3 miles.
- Since 3 miles is equal to 3 miles, Leah walked the same distance that Tamar rode.
4. Evaluate the choices:
- Choice A: Incorrect. Leah and Tamar both traveled the same distance. Saying that Leah walked farther because 15,840 is greater than 3 does not account for the conversion between feet and miles.
- Choice B: Incorrect. The statement is misleading. Although miles are longer than feet, when 15,840 feet is converted to miles, it equals 3 miles – the same distance Tamar rode.
- Choice C: Correct. Leah walked the same distance Tamar rode because 15,840 feet is indeed equal to 3 miles.
- Choice D: Incorrect. The time taken (50 minutes by Leah and 18 minutes by Tamar) does not affect the comparison of distances traveled.
Therefore, the correct explanation is:
C. Tamar rode the same distance Leah walked because 15,840 feet is equal to 3 miles.
