There are many synonyms for the phrase "quickens one speed," all of which describe the act of accelerating or increasing the rate at which something moves or progresses. Some common synonyms include hastens, expedites, speeds up, accelerates, rushes, hurries, and fast-tracks. These words are often used to describe actions that need to be undertaken quickly or efficiently, such as completing a task or reaching a deadline. They can also be used in a more metaphorical sense to describe a situation or event that is progressing rapidly, such as a fast-moving storm or a rapidly-growing industry. Regardless of how they are used, these synonyms all convey a sense of urgency and speed that is essential for achieving success in many different contexts.