Originally Posted by
rubiksoval
Now explain how much power it takes to increase your speed by 1 mph at 10 mph, 20 mph, and 30 mph.
Not very much. It takes not very much power to increase your speed by 1 mph at any of those given speeds. Of course, the relationship you are implying is not so simple. As I already explained elsewhere, there are many factors that affect speed, and power is only one of them. How much power output it takes to travel at a given speed will depend on wind speed, wind direction, rider position, weight of the rider, and so on. The choice of tires actually matters very little compared to those things, which was entirely my point several posts ago.