Sorry, but 'King of the mountains' is not determined by the times on the mountain stages, but by the points you get for being first, second, third and so on on the top of the mountains (not: at finish) irrespective of how far you are before the next.

The higher the mountain the more points you can get.

For the green jersey (best sprinter) the equivalent is valid: 30 points for the first (whether half an hour, half a minute or half a split second before the next), 25 for the second and so on. The flatter the stage the more points for the winner. On mountain stages you don't get as many points for being first as on flat stages.

Wolfgang