@layman,
Again, the way you are asking the question is bad. You keep moving the goalpost...literally. In your original question, we were measuring 2 goalposts using different measuring sizes and now we are measuring the distance between 2 moving objects.
What distances are we talking about? 100 yds? 100 miles? 100 lys? What speeds are they moving away from each other? Is the speed constant? If using 'A' as the still object, is it moving relative to it's environment?
There are too many questions you need to answer as your question is not a basic question. Even the 2 trains questions give locations and speeds...
Now, it 'A' and 'B' are actual goalposts planted in the ground on a football pitch that doesn't move or stretch or bend or twist but is just a regular old football pitch then the 2 goalpost do no move relative to each other. They are both held firm in position. The distance between them does not change and what ever device you use, be it yards, meters, banana's or grapes. The distance between them will be the distance between them. The number is immaterial as long as you are consistent with using the same number throughout or have a good conversion table of grapes/yd.
If 'A' and 'B' are moving relative to each other then you will be hard pressed to find a proper distance between them unless you freeze time so they can be measured for a specific time period. That way you have coordinates and time measured.
The problem, as I see it, is you are talking about tremendous speed over great distances and trying to ask about a short distance frozen in time.
Ask a better question.