A method of printing on a print medium with an ink jet printer uses a plurality of different color inks including a first color ink. A movable carriage assembly carries at least one ink cartridge. The carriage assembly is movable at a first carriage speed and a second carriage speed across the print medium in a direction transverse to an advance direction of the print medium. An image area on the print medium has a plurality of rows of pixels, with the plurality of rows being adjacent to each other in an advance direction of the print medium and extending across the print medium in a transverse direction. The carriage assembly is moved across the print medium at the first carriage speed and the print medium is simultaneously printed on in at least one pixel within one of the rows of pixels using the first color ink. The carriage assembly is also moved across the print medium at the second carriage speed and the print medium is simultaneously printed on in at least one pixel within the one row of pixels using the first color ink.