Shortly after 8.30pm, a black BMW 1 Series was travelling along Bolton Road before turning right in to Devon Court.
As the BMW driver turned, they were in collision with a quad bike.
The rider of the quad bike, a 21-year-old man, suffered serious head injuries in the collision and was airlifted to hospital.
The driver of the BMW did not stay at the scene and enquiries are now ongoing to trace them.
A police spokesman said: “We are keen to hear from anyone who witnessed the collision, including anyone with dash cam or CCTV footage.
"We’d also like to speak to anyone who saw either vehicle prior to the collision.”
You can report information by calling 101 or going online to www.southyorkshire.police.uk/contact-us/report-something/. The incident number to quote is 971 of 27 April. Footage can be emailed to [email protected] with the incident number in the subject line.