Question

Joseph, Colby, and Susie are training for a marathon. On Saturday, Joseph ran 125−−−√
miles, Colby ran 13 miles, and Susie ran the direct path from the library to her house.



Which list shows the names in order from the person who ran the shortest distance to the person who ran the longest distance?

(1 point)
Responses

Colby, Joseph, Susie
Colby, Joseph, Susie

Susie, Colby, Joseph
Susie, Colby, Joseph

Susie, Joseph, Colby
Susie, Joseph, Colby

Joseph, Colby, Susie

Answer 1

To determine the order from the person who ran the shortest distance to the person who ran the longest distance, we need to first calculate the distance Joseph ran, which is given as \( \sqrt{125} \).

Calculating \( \sqrt{125} \):

\[
\sqrt{125} = \sqrt{25 \times 5} = 5\sqrt{5} \approx 5 \times 2.236 = 11.18 \text{ miles (approximately)}
\]

Now, we have:

- Joseph ran approximately 11.18 miles.
- Colby ran 13 miles.
- Susie ran an unknown distance (the direct path from the library to her house). We don't have a specific numeric distance for Susie's run, so we cannot directly compare unless we know how far that is.

Since we do not have the exact distance that Susie ran, let's make an assumption:

1. If Susie's distance is less than 11.18 miles, then the order would be Susie, Joseph, Colby.
2. If Susie's distance is exactly 11.18 miles, then the order would be Joseph, Susie, Colby.
3. If Susie's distance is between 11.18 miles and 13 miles, then the order would be Joseph, Susie, Colby.
4. If Susie's distance is 13 miles or more, then the order could either be Joseph, Colby, Susie or just remain the same.

Given the responses provided, if we assume that Susie ran 13 miles (or more), the correct order would be:

**Colby, Joseph, Susie** (as Colby at 13 miles would be the longest if Susie ran shorter than that).

However, without more specific information about Susie's distance, we cannot definitively conclude which list is correct unless it is explicitly mentioned.

Still, based on common data where Colby runs 13 miles, here's the best conclusion:

**Colby, Joseph, Susie** if Susie ran any distance at least equal to or less than 13 miles.

So the final order could potentially be:
- **Colby, Joseph, Susie**.