Despite quickly advancing medical technology, the 'pace' [=(more commonly) 'rate'] of change in her field remained slow and steady.
The winner finished in 4 minutes, 30 seconds, and the next runner was three seconds 'off the pace'. [=finished three seconds later]
The law has not 'kept pace with' technology. [=the law has not changed fast enough to reflect changes in technology]
(..) ReaIIy, you are. - Isn't he the nicest guy? - The best. That was the most sickening dispIay - I've ever seen. - I disagree. I'm wearing her down. Buddy, you need a IittIe change of pace. Tonight, I'II take you on a Iove safari. Deep into the darkest heart of the urban jungIe. TeII me more, bwana. (..)1994 The Mask