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I was a volunteer fireman for lots of years, and we used to get criticized for our response times regularly. Since our times were recorded on radio logs according to the town's dispatcher's clock we could usually disprove the most outrageous claims.

That said:

I listen to a scanner pretty regularly and one of the things I note quite often is units signing out "in the area" when dispatched, and personal observation is that just as frequently the unit signing out "in the area" may take a minute or two before actually arriving. Of course this could be accounted for by the unit actually approaching the scene with some level of caution, or observing the area, or any number of other factors, but it would also tend to skew response time to shorter.

That said:

Time dilation under stress is an established observed condition - when you're waiting for the cops/FD/EMT, or even the dog warden (as we did Saturday) the wait can seem interminable, but actually be relatively short.

That said:

Even a 3 minute response time is way too long for someone to wait if that person is being assaulted.