To determine how many minutes it would take Kyle to run 3 miles at an average rate of 6 miles per hour, we can follow these steps:

1. Calculate the time in hours:
   Time is calculated as distance divided by speed: $\text{Time (hours)} = \frac{\text{Distance}}{\text{Speed}} = \frac{3 \text{ miles}}{6 \text{ miles per hour}} = 0.5 \text{ hours}$

2. Convert hours to minutes:
   Since 1 hour = 60 minutes, we multiply 0.5 hours by 60 minutes: $\text{Time (minutes)} = 0.5 \times 60 = 30 \text{ minutes}$

So, it would take Kyle 30 minutes to run 3 miles at an average speed of 6 miles per hour.

Would you like any further explanation or clarification? Here are some related questions for further exploration:

1. How do you convert from miles per hour to minutes per mile?
2. If Kyle increased his speed to 8 miles per hour, how long would it take him to run 3 miles?
3. How can you calculate the time for a trip if the speed is given in kilometers per hour instead of miles per hour?
4. What is the relationship between speed, time, and distance?
5. How do you calculate the distance traveled based on time and speed?

Tip: When dealing with rates and time, remember the formula:
$\text{Distance} = \text{Speed} \times \text{Time}$
This can be rearranged depending on which variable you need to solve for.