Well, if the stationary observer asks the moving observer how fast the light is moving, he will answer, at the speed of light. The stationary guy can then do the math and figure out that for himself the light heading toward the moving guy is going faster than the speed of light.
Ah no, light moves at the speed of light. The math here is the Lorenz transformations which give a correct result. If you try to do simple vector addition what you get will not match reality.