Convictions don't just disappear after a certain amount of time in Virginia.  They will always be there if someone looks in the right place.  However, generally speaking, when people ask this question they want to know how long the Virginia Department of Motor Vehicles will report the conviction on the driving record.  The Virginia DMV will report different convictions for different periods of time, depending on the severity of the offense.  According to the Virginia DMV, most Reckless Driving offenses will be reported on a driving record for 11 years