The ratio of the number of miles Kyle drives to the number of hours he is driving is 468 to 9. What is Kyle's rate of speed?
To find Kyle's rate of speed, we need to divide the number of miles he drives by the number of hours he is driving. The ratio of miles to hours is 468 to 9, so Kyle drives 468 miles in 9 hours.
To find his rate of speed, we can divide the total number of miles by the total number of hours:
Rate of speed = 468 miles / 9 hours = <<468/9=52>>52 miles per hour.
So Kyle's rate of speed is 52 miles per hour. Answer: \boxed{52}.