Carlos traveled at an average speed of 70 miles per hour for 2.5 hours and then traveled at an average speed of 80 miles per hour for 3.5 hours. What was the total distance in miles that Carlos traveled during that time?
The distance Carlos traveled at 70 miles per hour for 2.5 hours is 70 * 2.5 = <<70*2.5=175>>175 miles.
The distance Carlos traveled at 80 miles per hour for 3.5 hours is 80 * 3.5 = <<80*3.5=280>>280 miles.
The total distance Carlos traveled during that time is 175 + 280 = <<175+280=455>>455 miles. Answer: \boxed{455}.