To find the unit rate, we need to determine how long it takes Liam to travel one mile.
Liam took 15 minutes to ride 3 miles. We can set up the calculation as follows:
\[ \text{Time per mile} = \frac{\text{Total time}}{\text{Total miles}} = \frac{15 \text{ minutes}}{3 \text{ miles}} = 5 \text{ minutes/mile} \]
Therefore, the correct unit rate is:
5 minutes/mile.