The ride from EPCOT to the TTC (Ticket and Transportation Center) is about 8 minutes. You'll have to switch monorails and board the resort monorail which will go TTC -> Poly -> GF -> MK -> Contemporary. I'd say plan about 20 minutes for this leg of your trip. All told, I'd plan on an hour from the time you walk out of EPCOT's gates until you walk into the Contemporary. It may be a little shorter depending on if you have to wait for monorails at EPCOT and the TTC.