Because the speed at which you don’t experience time is the speed limit.
You’re always moving in two kinds of directions: time and space. The reason you can’t go faster when time is not moving is because you put all your motion in the “space” directions so you have none left over for the “time” direction.
The opposite is standing still: this is when time is moving fastest for you, because you out your motion in the time direction so you have none left over for the space directions.
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