Durham County deputies tried to pull over Arthur Tilley, 46, for speeding on 501 North near Bahama Road and Preston Andrews Road.
After about a 5 minute chase, Tilley, who was going 110 mph, ran into the back of a car near Bahama Road. Durham authorities said the chase was justified.
Tilley was thrown off the bike and was in serious condition at Duke Hospital, authorities said. He faces several charges, including DWI.
He has been charged with three other DWIs in the past 10 years and could now be charged as a habitual DWI offender.
The woman Tilley hit, Sherry Dail, was taken to a hospital. She is expected to be OK.
Her 4-year-old daughter, Megan, died in a drunken driving wreck in Durham in 1997. Timothy Blackwell hit the family's minivan. He was drunk and later convicted. Blackwell was sentenced to up to 50 years behind bars.