What does the term "Speed" mean in a speaker?


I often hear people say "That speaker has great speed". What do they mean? I know the music isn't playing at a different pitch. Could it possibly be related to efficiency?
koestner
@obelisk- "Some speaker designers used to put the tweeters physically behind the plane of the woofer to try and accomodate the slower response of the woofer." No- The physical time alignment, in multi-driver systems, has nothing to do with the relative speed of the drivers. Rather: to get the acoustic centers(actual sound source/voice coil) of the drivers, in the same plane/in phase. https://en.wikipedia.org/wiki/Loudspeaker_time_alignment
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Great discussion and lots of good info to consider. At the end of the day, it’s what one hears. I have experienced speakers that are fast but didn’t sound it because of bass overhang attributable to room acoustics. Fix the room and you’ll extract everything the speakers can offer. And also be confident when evaluating new speakers. I have a really good room acoustically and whe I compared new Raidho speakers to my existing Burmesters (both ribbon tweeters) I could really feel the impact of the transients. Not sure I would have before getting my room right. Just my opinion. 
Boy some really odd analogies flying around here. Audiokinesis are you out there somewhere? Your help would be appreciated:)
Obelisk, rodman is correct. The drivers have to be phase/time aligned. Sound from each individual driver has to reach your ears at exactly the same time. The Dalquist DQ-10 was the first speaker to try and deal with this. 
It is all about transient response, the ability to start and stop fast without ringing.