To find the unit rate, we need to express the bicyclist's speed in miles per hour. The cyclist rides $\frac{1}{4}$ mile in $\frac{1}{44}$ hour.

We can calculate the speed by dividing the distance (miles) by the time (hours):

$\text{Speed} = \frac{\frac{1}{4} \text{ mile}}{\frac{1}{44} \text{ hour}} = \frac{1}{4} \times \frac{44}{1} = \frac{44}{4} = 11 \text{ miles per hour}$

Thus, the unit rate is 11 miles per hour.

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you calculate the unit rate in different contexts?
2. What is the significance of a unit rate in real-world problems?
3. How can you convert other distances to a unit rate?
4. What happens if the cyclist's speed is halved?
5. How would this change if the cyclist rides for a longer time?

Tip: When dividing fractions, remember to multiply by the reciprocal!