The first car was stopped after clocking up 85mph in the 50mph section of the M621.
West Yorkshire Police stopped and reported them.
After that the police pursued a man going 100mph in the 70 limit and then 80 in the 50mph limit.
The drive then decided to stop in lane 3 of 3.
He was also stopped and reported.
The incident were reported on Twitter on Friday, March 8 at about 5.45am.
The WYP Road Policing unit said on Twitter: "M621 Leeds. Vehicle followed at 100 mph in the 70 limit then 80 in the 50mph limit. Driver then thought it would be a good idea to stop in lane 3 of 3. Driver Reported to court."
For the latest news for the roads around Leeds join our Traffic & Travel Facebook group.