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

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

A Little Train Puzzle

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.

If this little puzzle gives the reader much trouble he will certainly smile when he sees the answer.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Locomotion and Speed Puzzles: $80$. -- A Little Train Puzzle
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Speed & Distance Puzzles: $94$. A Little Train Puzzle