From the front steps at BWV, it's 0.36 mile to the Epcot International Gateway. At a 2.5mph walking pace, that's 8:38 walking time. (7:12 at 3mph)
From the edge of the Luna pool at BWV, it's 0.66 miles to entrance gates at the Studios. At 2.5mph walking pace, that's 15:50 walking time. (13:18 at 3mph)
If you exit the back door of BWV, from there it's 0.55 mile to the entrance gates at the Studios.