Now, 550mph is undoubtedly very fast in human terms but the only change we have to make to a watch at the end of such a flight is to adjust it to the local time, and we don't need to alter it to take time dilation into account. It's just that the time dilation, even at the speed of a jet, is so small that our everyday watches can't measure it. Remember, all moving clocks run slowly, even slowly moving ones. To answer this we must first convert hours into seconds and miles per hour into metres per second. Amazingly, yes it can, using atomic clocks.
Atomic clocks work by monitoring the natural vibrational frequency of atoms and are very accurate.
In 1971 two scientists, J. Hafele and R Keating, borrowed four atomic clocks from the U.S. Naval Observatory, put them on commercial airliners and flew them around the world. When compared with similar atomic clocks back in the U.S. they found that the clocks slowed down by the tiny, but very real amount predicted by Einstein and the time dilation equation. This experiment has since been carried out many times using ever more accurate atomic clocks. Each time the results have been in accordance with what Einstein said they would be. The Lifetime of a Pilot.