I thought that the leaving group being on the tertiary carbon wasn't favored for E2 but E1 instead?
I think that the reaction will occur the fastest for this conformation compared to the other answer choices is because when you put the bulkiest group t-butyl in equatorial position, the leaving group I would in axial position and ready to be eliminated since it's in anti-periplanar orientation.
If you look at all the other answer choices, in A, if you made the t-butyl equatorial, the I would be equatorial too and would have to go thru ring flip in order to get into axial position. Ring flip would also have to occur in C. For D once I is in axial position, it has 1,3 diaxial strain with the t-butyl which causes steric hindrance.
Thus B would be the fastest because it didnt have to go thru a ring flip and it was already in the right orientation for the reaction to occur.
I hope my explanation made sense ^^;;