Sunday Times Teaser 2840 – Signs of the Times

by Victor Bryant

Published February 26 2017 (link)

I was taking a gentle morning drive along the straight road to Secombe that passes through Firsk.  Before reaching Firsk I passed three signposts, each giving the distances to Firsk and to Secombe (to the nearest mile). All six distances displayed were different and, amazingly, all were perfect squares.

What were the two distances given on the first signpost (furthest from Firsk)?