the problem of too fast gameplay is because of dual core processors (although i have a core 2 duo t5500 and never had problems), but some people say they have problems, so when u start gta vice city, immediately alt tab out, open task manager, find gta_vc.exe right click, and click set affinity, and uncheck cpu 1 so that only cpu 0 is left selected. i know this is for speed problems but maybe this might fix your problem too..
only other thing i could think of is a corrupted file (police.mp3 in audio folder) that has all the radio chatter, and unless someone is gona upload that (its like 10+mb) or you find it yourself. i dont know that theres another way around it. but try the disabling 1 core thing.
keep in mind, you have to do that every time you start gta.