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Standing in for you, the average cycling enthusiast, are the writer's friends Matt and Andy, and data on the tour riders is from Team HTC-High Road. OK, let's start out with average speed on the flats. You: 17 to 18 mph. A tour rider: 25 to 28 mph.
I know calorie counts vary quite a bit, but a rough ballpark for cycling at a 20 mph pace is 450 calories per 15 minutes according to this calorie calculator. Running a 6 minute mile is expected to burn a similar 450 calorie count on the same calculator with the same settings. So, if you do the math, and the calculator is assumed to be reasonably accurate, then 5 miles on a bike at 20mph, is roughly equivalent to 1 mile run at a very fast pace.