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

Susie, Joseph, Colby
Susie, Joseph, Colby

Colby, Joseph, Susie
Colby, Joseph, Susie

Susie, Colby, Joseph
Susie, Colby, Joseph

Joseph, Colby, Susie

Answer 1

To determine the order of the distances run by Joseph, Colby, and Susie, we need to first calculate the distance Joseph ran and then compare it to the distances run by Colby and Susie.

1. **Joseph** ran \( \sqrt{125} \) miles. Calculating \( \sqrt{125} \):
\[
\sqrt{125} = \sqrt{25 \times 5} = 5\sqrt{5} \approx 5 \times 2.236 \approx 11.18 \text{ miles}
\]

2. **Colby** ran 13 miles.

3. **Susie** ran the direct path from the library to her house. To determine her distance, we would typically need a specific number. Since no distance is provided for Susie, we will proceed on the assumption that she ran a certain distance which we must estimate in relation to Joseph and Colby.

Since we know:
- Joseph ran approximately 11.18 miles.
- Colby ran 13 miles.

We can infer that Susie must have run either less than 11.18 miles, between 11.18 and 13 miles, or more than 13 miles. Without any specific information about Susie's distance, we cannot definitively place her in the order without making assumptions.

However, based on the distances we know, if we assume Susie's distance is not provided and we don't know whether it's less or more than Joseph or Colby, we can present the known runners in order of their distances.

If we assume Susie's distance is significantly less than 11.18 miles (hypothetical), the order would be:
- Susie, Joseph, Colby

If Susie's distance is between 11.18 and 13 miles, the order would be:
- Joseph, Susie, Colby

If Susie's distance is more than 13 miles, the order would be:
- Joseph, Colby, Susie

Therefore, without loss of generality, we align based on the known distances:

- Joseph (11.18 miles)
- Colby (13 miles)

Since Susie's distance is unknown, we assume she may be in various positions depending on that distance.

With no specific details on Susie's run, the most definitive answer we can provide from the choices available would be:

**Colby, Joseph, Susie** (assuming Susie's distance could be less than Joseph's). However, without knowing the exact distance, a clear order cannot be established.