A process and an arrangement for covering a flat-lying blank, preferably made of cardboard with a cover, in particular applicable in the production of book covers is described. The covering takes place in cycles in a number of working stations, whereby an overall cycle time can be given to each working station in advance. Each working station comprises at least one working means, to which at least one sub-cycle time is assigned. It is provided that in the case of a constant remaining overall cycle time, at least one sub-cycle time assigned to the working means of a procedural step is adapted to the processed materials. The present invention is in particular applicable when at least one edge of a cover applied to a blank is folded over. The folding over of the edge takes place thereby in a folding station within the pre-set overall cycle time. Within one cycle, at least the following procedural steps are carried out: “transport”, in which the blank with the cover is transported into the folding station, “preparing”, in which at least one folding means is placed to the edge of the cover, and “folding and pressing”, in which the folding means folds over the edge of the cover and presses it onto the blank. It can in particular be provided that the ratio of the sub-cycle time “folding and pressing”, assigned to the folding means to the overall cycle time is variable.