A Quiet Drive is an optional favor in Sleeping Dogs which teaches you how to escape police pursuit.
Find Calvin in eastern North Point. He'll ask you for a ride, but not right away. After he punches out a cop you and he will need to escape the police. Calvin explains that the man he punched had been sleeping with his "girlfriend". Wei admonishes him for just punching a cop, but Calvin brushes it off since he arranged for a getaway.
After getting away from the cops, drop Calvin off to receive your Face XP and cash reward.