To find the unit rate of deliveries per hour, you divide the total number of deliveries by the total number of hours.
In this case:
\[ \text{Deliveries per hour} = \frac{\text{Total deliveries}}{\text{Total hours}} = \frac{30 \text{ deliveries}}{2 \text{ hours}} = 15 \text{ deliveries per hour} \]
So, the unit rate is 15 deliveries per hour.