Don't believe everything you might read, the Enterprise and the other carriers aren't speed demons. Yeah they can pick them up and put them down, but the Leahy's could be as fast and the Belknaps a skosh faster. Let's just say from personal experience, I know how fast a Belknap fresh out of the yards with a clean bottom and optimal weight and trim can go. (Standing watch in Main Control and seeing the actual turns we were getting out of the plant. And also seeing the nav plots)
The amount of power required to push a carrier at over say 36 or 37 knots is close to or more than twice that required to push it at 28 knots. You start getting higher than 38 or 39 and the drag factors are unbelievable with a clean bottom, worse with a dirty bottom, and the carriers weren't docked all that often.