October 2017
Problem of the Month

Russian Army motorcyclists
by Henry Dudeney
contributed by Brijesh Dave



There are two Russian Army motorcyclists.   In the section from a map given in our illustration below we are shown three long straight roads, forming a right-angled triangle at C.

The General asked the two men how far it was from A to B.   Pipipoff replied that all he knew was that in riding right round the triangle, from A to B, from there to C and home to A, his cyclometer registered exactly sixty miles, while Sliponsky could only say that he happened to know that C was exactly twelve miles from the road A to B — that is, to the point D, as shown by the orange line.

Whereupon the General made a very simple calculation in his head and declared that the distance from A to B must be ______.   Can the reader discover so easily how far it was?






Send your solution by the end of the month to: mathpage@gmail.com