Burke pumped in 27 points and distributed seven assists, while Hardaway drained four 3-pointers for the Wolverines (11-0) in the contest played at Barclays Center.
Michigan continued its best start since 1988-89 as Coach John Beilein emerged with a victory in his first game against the Mountaineers, whom he led from 2003-07.
West Virginia (4-5) was paced by Terry Henderson's 23 points.
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