Is the Enterprise faster than an imperial star destroyer?

A common literary device is to posit a faster-than-light propulsion system (such as warp drive) or travel through hyperspace, although some starship stories have their craft outfitted for centuries-long journeys of slower-than-light travel. Other designs posit a way to boost the ship to near-lightspeed, allowing relatively "quick" travel (i.e. decades, not centuries) to nearer stars. This results in a general categorization of the kinds of starships: