Motorists faced congestion on roads in the Amblecote area following the collision which happened shortly before 11.30am on Saturday, in Wollaston Road.
Officers are now making enquiries in a bid to find the driver of the car, which left the scene in the aftermath.
Witnesses or anyone with information should send a message via the police website west-midlands.police.uk via Live Chat quoting reference number 1399-250622.
