Henry Ernest Dudeney/Modern Puzzles/46 - Baxter's Dog

Modern Puzzles by Henry Ernest Dudeney: $46$

Baxter's Dog

This is an interesting companion to the "Man and Dog" puzzle.

Anderson set off from an hotel at San Remo at nine o'clock and had been walking an hour when Baxter went after him along the same road.

Baxter's dog started at the same time as his master and ran uniformly forwards and backwards between him and Anderson until the two men were together.

Anderson's speed is $2$, Baxter's $4$, and the dog's $10$ miles an hour.

How far had the dog run when Baxter overtook Anderson?

My correspondent in Italy who sends me this is an exact man, and he says,

"Neglect the length of dog and time spent in turning."

I will merely add, neglect also the dog's name and the day of the month.

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Locomotion and Speed Puzzles: $46$. -- Baxter's Dog
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Speed & Distance Puzzles: $74$. Baxter's Dog