It happened on Martin Luther King Jr. Boulevard and Rock Quarry Road around 2:45 p.m.
The driver of the scooter, 20-year-old Ana Kessel, was rushed to WakeMed with serious injuries.
Police said a car driven by 23-year-old Michael Deontea Jones, hit Kessel's scooter and then fled the scene.
Jones was arrested a short time later. He's being charged with felony hit and run and with driving without a valid license.
He's behind bars at the Wake County Detention Center.