If it takes the athlete 58 seconds to run around the track once, we can calculate the time it would take to run around the track 15 times by multiplying the time for one lap by 15.
\[ \text{Time for 15 laps} = 58 \text{ seconds} \times 15 = 870 \text{ seconds} \]
Next, we need to convert seconds into minutes. There are 60 seconds in a minute, so:
\[ \text{Time in minutes} = \frac{870 \text{ seconds}}{60 \text{ seconds per minute}} = 14.5 \text{ minutes} \]
Thus, it will take the athlete 14.5 minutes to run around the track fifteen times.