This article is from the Puzzles FAQ, by Chris Cole firstname.lastname@example.org and Matthew Daly email@example.com with numerous contributions by others.
Two people are talking long distance on the phone; one is in an East-
Coast state of the US, the other is in a West-Coast state of the US.
The first asks the other "What time is it?", hears the answer, and
says, "That's funny. It's the same time here!"
One is in Eastern Oregon (in Mountain time), the other in
Western Florida (in Central time), and it's daylight-savings
changeover day at 1:30 AM.