Elf vs dwarf: You know that elf is going to get down the 100m faster than the dwarf. That dwarf might be able to run for three days straight, but he is still slower than the elf.
L-A
There are two ways to define being the fastest. One of them is in terms of your raw 'top speed' - a person who can run at 100mph is faster than a person that can run at 90mph.
The second defintion? Two people run from A to B, that distance being 15,000,000 miles. The first person who can run 100mph can run for only 1 minute before becoming too tired to continue. The second person cannot run faster than 90mph but he can run forever.
Even though the first person can run at a higher top speed and making him faster in that sense, the second person can get from A-B much faster, making him faster in that sense.
What I am getting at, is that there are two ways of defining what 'fastest' is - top speed, and time it takes to get from A to B.
Your formula is the formula for speed. Having the highest speed makes you the fastest only in one definition of the word. Here's another dictionary definition for fastest:
- done in comparatively little time; taking a comparatively short time: a fast race; fast work.
So it stands to reason that top speed doesn't neccessarily mean everything:
Your example is right, assuming I run at half the speed of my opponent. I'm not trying to sound big headed or anything (I can't think of any other way to word it without it sounding big headed, so please accept my disclaimer
), but I don't run at half the speed of the other players - I can run fairly well, usually only being caught over a long distance by the top tier runners/PKers. So let's say I run at 9/10 or 4/5 of the speed of my opponent but I have an extra 500 moves. Who is going to get from A-B in the best time then, assuming the distance is a fair bit more than my opponent has moves to run without resting?
Let's even take an even scenario - two people run a race that requires 900 moves to get from A to B without resting. Both characters run at EXACTLY the same speed (both leaving and entering the next room at the same time), but one of them has 400 moves and one has 900 moves. The one with 900 is going to have the FASTEST time (because the one with 400 will have to stop to rest) and thus be the FASTEST in the second defnition I explained earlier even though they are both running at the same speed.
Please, somebody tell me they understand what I am getting at! 
Dey