Henry Ernest Dudeney/Puzzles and Curious Problems/80 - A Little Train Puzzle/Solution

Puzzles and Curious Problems by Henry Ernest Dudeney: $80$

A non-stop express going sixty miles an hour starts from Bustletown for Ironchester,

and another non-stop express going forty miles an hour starts at the same time from Ironchester for Bustletown.

How far apart are they exactly an hour before they meet?

As I have failed to find these cities on any map or in any gazetteer, I cannot state the distance between them,

so we will just assume that it is somewhere over $250$ miles.

$100$ miles.

The first train is $1$ hour away from the meeting place, which at $60$ miles per hour is $60$ miles away.

The second train is also $1$ hour away from the meeting place, which at $60$ miles per hour is $40$ miles away.

$40$ miles plus $60$ miles is $100$ miles.

$\blacksquare$