Abstract: A rear engine hood and a spoiler arrangement for the rear area of a vehicle body is disclosed. The spoiler arrangement is movable from an inoperative position flush with the body contours into an operative position to serve as a spoiler. A fan is assigned to the rear engine for taking in cooling air via air inlet openings of the spoiler arrangement, which cooling air acts upon a radiator mounted below the spoiler arrangement. In its operative position, the spoiler arrangement extends at a distance to the body, whereby, between the spoiler arrangement and the body, a rear transversely extending gap area and lateral gap areas are formed. These gap areas are covered by cover elements, achieving not only a targeted admission of cooling air to the radiator but also ensuring that undesirable exhaust gases or dirt particles are kept away from the fan.