At the top of the ramp, both tins have identical potential energy, since both have the same mass and are at the same height. At the bottom of the ramp, each tin will have part of its original potential energy appearing as linear (or translational) kinetic energy and the rest appearing as rotational kinetic energy.
Although both tins have the same total mass, each has this mass distributed differently. It’s harder to get the tin with distributed mass (washers pushed up against the outer rim) rotating compared with the tin that has its mass concentrated at the center. The tin with its mass at the rim will use more of its original potential energy just to get rolling. Therefore, it has less energy available to appear as translational kinetic energy, resulting in a lower linear speed. So, the tin with its mass concentrated around the rim will lose the race down the ramp, and the tin with its mass concentrated at the center will win.