Henry Ernest Dudeney/Puzzles and Curious Problems/356 - A Rail Problem/Solution

by : $356$

 * A Rail Problem

Solution
There are $51$ divisions of $23$ whole rails each.

Proof
Let $n$ be the number of whole rails in a division.

Let $d$ be the total number of divisions.

Each of the outer divisions has $n + \dfrac 1 2$ rails.

Each of the inner divisions has $n + 1$ rails, that is, $n$ plus the two half rails at either end.

Hence we have: