Hmm. A "quick google calculator search":http://www.google.com/search?hl=en&lr=lang_en&ie=UTF-8&oe=UTF-8&q=1164.13+miles+%2F+speed+of+sound&btnG=Google+Search shows that my last theory can't be right -- using the speed of sound (at sea level), it takes over 1.5 hours for the radio signal to get from Ft. Collins to Louisville, KY (and yes, 1164.13 miles is a mapquest distance, so this assumes that the signal is taking I-25 out of Ft. Collins towards Louisville and hits no traffic -- but it's more or less a straight line, so it's a Good Enough(TM) distance to use).
However, I have no idea what frequency the Ft. Collins station is broadcasting. For example, (although I'm sure it's not) if it was in the light frequency range, "google shows that the signal would get from Ft. Collins to Louisville in about 6.2 milliseconds.":http://www.google.com/search?hl=en&lr=lang_en&ie=UTF-8&oe=UTF-8&q=1164.13+miles+%2F+speed+of+light&btnG=Google+Search
So it's probably somewhere in between the two (which sounds reasonable) -- I could check what frequncies typical radio stations transmit at (it has to be somewhere in that order of magnitude, and FM signals are obviously much faster than the speed of sound). But I'm tired and finding that I don't care too much any more. I just wanted to post some links to google's calculator. :-)