To Hasten

1. (intransitive) To move or act in a quick fashion.
2. (transitive) To make someone speed up or make something happen quicker.
3. (transitive) To cause some scheduled event to happen earlier.

(move in a quick fashion): dart, race; move quickly

(speed up): accelerate, quicken, speed up

(cause a scheduled event to happen earlier): hurry, rush, zoom