North Central Service Train No. 115 collided with the vehicle around 6:10 p.m. near Touhy Avenue and Mannheim Road, said Metra spokesman Michael Gillis.
The train struck the back portion of the car, dragging it and pushing it into a tree.
Two of the car's passengers were taken to Advocate Lutheran General Hospital in Park Ridge, while the other injured passenger was transported to Northwest Community Hospital in Arlington Heights, Gillis said. Their injuries do not appear to be life threatening.
No one on the train was hurt.
The Sun-Times Media Wire contributed to this report.