There is only one thing in the world worse than being talked about, and that is not being talked about. After all a man can't be too careful in the choice of his enemies, but then again; I am not young enough to know everything.
Unlike some: I took well into two days to come up with an answer, whereas it took Mark 2.5 hours. I think that tells us something about how time is slowing down.
Mark:
VILLAGES
AB=8
AC=8
AD=7
BC=9
BD=8
CD=7
If you started at A, your trip was ABCDA or ADCBA.
We were so close on this:
I started from the six bidirectional pairs (e.g. A-->B, B-->A) and noted that for all six the distances were different: both could not be correct, though both could be wrong -- though since there were exactly six errors total one of each pair must be correct.
This seemed to suggest that the path must have segments of 7,7,7,7 or 7,7,7,8 so not exceeding 29 miles (whole miles less than 30). By elimination, A-B=8, B-C=7, C-D=7 and D-A=7 were allowed, and the further selections of A-C=8 and B-D=9 were found to satisfy the tests for different numbers of errors: Aville had none correct, Bestown had 3 correct; Chipping had 2 correct; and Dreem had one correct.
Putting this in order comes to: 8,8,7,7,9,7.
Or does it, we will just have to wait for Mark's considered reply.
PBRARIGCAE
KCAB _
BUPTRTTON
That is one heck of a math problem.....27x27 if I am right let mark, thoh or someone else explain it 
