When I was working at Blue Mountain in Pennsylvania, the ski patrollers used to actually give out 'speeding tickets'. It was ridiculous, and some of the instructors I skied with got 'pulled over' a few times. Usually, the instructor would tell the patroller who they were, and everybody would be on their way. However, on one occasion, an instructor (who happened to be a police officer in his real life) argued with the patroller. He asked how fast he was going to be stopped. The patroller said 'too fast'. The instructor asked for a speed, the patroller said 'I don't know.' The instructor proceeded to laugh in the patroller's face, and said 'just because you're a crappy skier doesn't mean I was skiing too fast. Here, I'll show you what fast is.' The instructor then skied off, laying down huge ripping arcs.
Now, I have a great deal of respect for patrollers in general. The patrollers here at Stowe are an amazing bunch of guys, awesome skiers and excellent at their jobs. Back then at Blue however, they were a bunch of part time volunteers, most of whom were terrible skiers who just wanted to act as the ski Gestapo. They were slow to respond to any accident scene, but quick to 'pull people over'. Unfortunately, that is what you get when you get too concerned with speed being a 'problem'. Its not speed. Its control. If I tell you to stand in one spot, I can blow by you at over 50mph, close enough to let you feel the wind of my slipstream, and you would never have been in the slightest danger. However, a beginner going 15 mph, you are in danger when they're within 20 feet.
Long story short, speed is speed. Control is control. They're two different things. Don't confuse one and the other.