On a gel, bands are 2 mm wide. Red dye (shaded in picture) travels at 1 mm/minute and yellow dye (dotted in picture) travels at 1.5 mm/minute. At the start, the red and yellow bands are in exactly the same place, making orange (shaded and dotted, left figure). How many minutes will it be until the red and yellow bands no longer overlap, as seen in the right figure?
Image link: https://latex.artofproblemsolving.com/5/7/1/571a92b0362d87d03de651869244ba5cc20b692e.png