Good player is faster

Have you ever noticed that when you play vs a good skilled player, he often seems to be faster than you? I talk about movement, not reactions. This is not the first time I have this feeling. Like... when you try to advance, he always retreats in time. When he goes at you, you've got no chances to run away. Just as if his movement speed was twice bigger than yours. And while having no special movement items, too. And when I play the same champion I feel to be much, much slower. So this is not about actual movement speed. So. How do I learn to do such things? Where do I start?
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