Physicians for Underserved Areas Act This bill modifies how a hospital's residency positions are redistributed after it closes for purposes of graduate medical education payments under Medicare. Under current law, if a hospital with an approved medical residency program closes, the Centers for Medicare & Medicaid Services (CMS) must redistribute the hospital's residency positions to other hospitals in the following order: (1) hospitals in the same core-based statistical area as the closed hospital, (2) hospitals in the same state as the closed hospital, (3) hospitals in the same region of the country as the closed hospital, and (4) other remaining hospitals. In order to receive the additional positions, hospitals must demonstrate a likelihood of filling the positions within three years. The bill removes the requirement that the CMS prioritize hospitals in the same region of the country as the closed hospital. It also requires hospitals to demonstrate a likelihood of (1) starting to use the positions within two years, and (2) filling the positions within five years.