The phrase "speed through" can be replaced with several synonyms that convey a similar meaning. Words like "rush through," "hurry through," "blast through," and "zoom through" all express the idea of moving quickly through something or completing a task at a fast pace. Other synonyms include "race through," "whisk through," "zip through," and "fly through." All these phrases indicate the sense of urgency, impatience or haste. However, it's essential to remember that sometimes it's better to take one's time and not "speed through" something - especially when it comes to important tasks like driving, reading, or decision-making.