To determine the order of the distances they ran, we need to compare:
-
Joseph's distance: \( \sqrt{125} \) miles can be simplified.
- \( \sqrt{125} = \sqrt{25 \cdot 5} = 5\sqrt{5} \approx 5 \times 2.236 = 11.18 \) miles.
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Colby's distance: He ran 13 miles.
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Susie's distance: Since the exact distance from the library to her house isn't provided, we can't compare it numerically.
Now we know:
- Joseph ran approximately 11.18 miles
- Colby ran 13 miles
Assuming Susie's distance is greater than both Joseph’s and Colby’s distances (which is typical in these contexts), the order, from shortest to longest run, would be:
- Joseph (approximately 11.18 miles)
- Colby (13 miles)
- Susie (unknown, but likely more than 13 miles)
Thus, the correct order of names from the person who ran the shortest distance to the person who ran the longest distance is:
Joseph, Colby, Susie.