Did it take you out of First Contact when the Enterprise went from the Romulan Neutral Zone to Earth in a blink of an eye?
Supposedly it took nine hours or so for them to get there.
There was some ambiguity about the travel time in FC. Maybe this kept my negative brain hemisphere quiet, because its never bothered me.
The only trouble with the 9hours explanation is the reaction of the crew just after Picard orders Red Alert and Engage... its as if they are going to be fighting the Borg in a minute or so