Chloe Palmer, 19, suffered a fatal brain injury after 28-year-old Bradley Lane lost her vehicle on the M1 and crashed into a hard shoulder to avoid Renault in Hertfordshire.
Two other young women in the car suffered serious injuries in the collision.
Chloe sitting at the back of the Renault Twingo in a standstill when the Isuzu D-Max drove through Bradley Lane entered on November 25, 2017.
She died six days later.
A fourth woman, who had been discharged from the vehicle and leaned in front of a steel barrier next to the car, was not injured.
All the women had partyed that night in Watford and were on their way home when the turn of fate happened in the early hours of Saturday, near Exit 6.
The Crown Court of St. Albans learned that they were heading north towards St. Albans when the car stopped on the shoulder south of the Bricket Wood exit.
Lane, from Basildon, Essex, admitted to causing Chloe’s death by driving harmfully.
He also admitted two other charges of seriously injuring the other for driving harmfully.
The 19-year-old driving force that was ejected from the car had an effect and was seriously injured.
Another young woman sitting next to Chloe in the back seat suffered a head injury and a head injury to the right side of the chest wall.
The court heard Lane admitted that the turn of fate occurred on his way home after taking a double shift as a driver.
During this time, he had taken cocaine about 8 hours before the turn of fate remained awake.
The court heard the crash had occurred when tiredness eventually caught up with Lane during his drive home.
A loss of concentration and alertness floating on the pavement and on the shoulder colliding with the car stopped.
Judge Michael Simon, hearing the case, was told Lane had immediately admitted his guilt to police when they interviewed him.
At his first appearance before magistrates in May 2019 he had asked to be remanded in custody and since then has been held in Bedford Prison.
His barrister, Malcolm Galloway, said Lane wanted to make a heartfelt apology to the family of Chloe, who lived in Edgware, north London.
Lane said he had taken the cocaine not for recreational purposes, but for it to act as a stimulant and help him stay away as he completed a double shift as a driver.
Passing sentence, Judge Simon told Lane he should never have got behind the wheel of his vehicle that night to drive home and said his tiredness meant he was not in a “fit state” for the journey.
He jailed Lane for 30 months and disqualified him from driving for two years.
Because of the time Lane has spent on remand, the sentence means he will be released from prison in the next few weeks.
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