Officers followed the black BMW which continued to go quickly in Crawthorne Road, Peterborough.
A red traffic light enabled the police to get closer and signal for the vehicle to stop.
The driver – Robert Bandy, 22 – pulled over in Towler Street.
Officers, who noted he had a passenger in the car, asked Bandy to provide a roadside breath sample.
It proved positive and he was arrested.
An evidential test in custody showed 57 microgrammes of alcohol in 100 millilitres of breath. The legal limit is 35.
At Peterborough Magistrates’ Court on Monday, Bandy, of Lincoln Road in the city, pleaded guilty to drink-driving on June 19, 2021.
In mitigation, he said: “It was a big mistake that I did. It was foolish of me.
“This is the first and last time I’ve done this.”
Bandy was disqualified from driving for 16 months, which can be cut by 16 weeks with completion of a drink-driver rehabilitation course.
He was also fined £120 and ordered to pay £139 in costs and victim surcharge.