Henry Ernest Dudeney/Modern Puzzles/41 - The Damaged Engine

Modern Puzzles by Henry Ernest Dudeney: $41$

The Damaged Engine

We were going by train from Anglechester to Clinkerton, and an hour after starting some accident happened to the engine.

We had to continue the journey at $\tfrac 3 5$ of the former speed, and it made us $2$ hours late at Clinkerton,

and the driver said that if only the accident had happened $50$ miles farther on the train would have arrived $40$ minutes sooner.

Can you tell from that statement just how far it is from Anglechester to Clinkerton?

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Locomotion and Speed Puzzles: $41$. -- The Damaged Engine
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Speed & Distance Puzzles: $69$. The Damaged Engine