The monorail does not go directly from MK to EPCOT. From MK, you take monorail to TTC. Get off. Take separate monorail to EPCOT. Depending on how they're running, I'd allow 45 minutes if scheduled ADR. But actual rail time, 20 - 30 minutes tops?
Yeah I think I've heard someone mention its 11 minutes from the TTC to Epcot and 5 minutes at most between the TTC and MK taking the express monorail,longer if taking the resort monorail since it will stop at Poly and GF before reaching MK.So 15-20 minutes on the train plus wait times,so between 20-35 minutes depending on the wait.