Ranking issue.

I am trying to create a workbook which will monitor the trailers off loading at our depot.

Column D Shows the arrival date.
Column E Shows the arrival time.
Column F Will show the queue position. (The off load order 1,2,3,4 etc. This varies as other trailers are off loaded).
Column G Shows the date / time when the trailer completed off load.

In cell F3 I entered the following =IF(G3>1," ",(IF(AND(E3=0,G3=0)," ",RANK(E3,$E$2:$E$50,1))))
The result is 2.
A similar function in F5 gives a result of 3.
I had hoped the results would have been 1 (F3) and 2 (F5).
Cell F2 is blank because G2 contains data. If data was removed this would show 1.

Is it possible to alter the relative queue positions (Column F) using "RANK" or maybe another function?

Any assistance would be greatly appreciated.

Thanks for your quick response.
Column D is formatted dd.mm.yy
I changed to dd.mmm.yy and inputted your array formula in cell F2. Unfortunately received #Value!
Sorry but I am not familiar with "array formulas"
Could you have another look?

Put on F2 and copie down:

=IF(G2>1," ",(IF(AND(E2=0,G2=0)," ",COUNTIF($E$2:$E$5,"<"&E2))))

That's done it.
Thanks for your help.