Outflow continued to improve , and with warm sea surface temperatures Beryl slowly strengthened further to reach peak winds of 60 mph ( 95 km\/h ) early on July 20 while located about 120 miles ( 190 km ) east of Nags Head , North Carolina . Outflow continued to improve , and with warm sea surface temperatures Beryl gradually intensified to attain peak winds of 60 mph ( 95 km\/h ) early on July 20 while located about 120 miles ( 190 km ) east of Nags Head , North Carolina .