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Rodeway Inn, a Greensburg hotel near the University of Pittsburgh at Greensburg Located off U.S. Route 30, the Rodeway Inn hotel is three miles from the University of Pittsburgh at Greensburg, and minutes from the following attractions: Seton Hill University Westmoreland Museum of American Art Westmoreland Mall Explore downtown Greensburg, where you'll find shops, theaters and restaurants galore, or get your outdoor fix through hiking, biking and fishing. Several golf courses are also nearby.