There are several worlds in H2H. Each world has it's own set of puzzles with unique set of logic elements. Moving platform is one of such elements for the first world Yellow Stone.
One former's step from cell to cell equals the whole latter's ride by the moving platform. And it doesn't matter how far the trip is. So here is in the example we can see that the 5-cell distance from left to right for the princess equals only two cells for the prince.
Simple level example: