The brakes of the truck reportedly failed as it was climbing the hill in front of the Oforikrom Police Station and reversed.
The two men, a businessman and his friend were driving home around 9:55 pm at the time of the accident.
They were subsequently taken to hospital for medical care.
The articulated truck has since been impounded and parked at the edge of the road in front of the Oforikrom Police station.
Apart from destroying the Range Rover, it also smashed the front door of a Toyota Corolla vehicle.