Not really, if trying to keep up with a sub going much faster, V=D/T. It’s really that simple, the only way to trail and attack a nuke sub is to keep up, you just can’t without giving away your position.
That’s not how DBs operate.....they quietly get on station and wait to attack when a noisier enemy comes into range. It doesn’t matter really how long it takes them to get into position, either. Again, the DB’s greatest advantage is that no one knows it’s there.