I was happily surprised at the monorail effiencency between Epcot and MK when we were there last week. We were standing in the middle of Epcot when I said "let's go now"--we (family of 5) walked to the entrance, hopped on the monorail to TTC, hopped the second monorail to MK, went through security and passed through the ticket gates, all within 30 minutes. Not too shabby! Of course, it was a low crowd week. The Epcot-MK ride itself is probably 10 minutes. The best part is the loop you take around Epcot (but you only do that as you are coming from MK to Epcot).