Henry Ernest Dudeney/Modern Puzzles/31 - A Walking Puzzle

Modern Puzzles by Henry Ernest Dudeney: $31$

A Walking Puzzle

A man set out at noon to walk from Appleminster to Boneyham,

and a friend of his started at $2$ p.m. on the same day to walk from Boneyham to Appleminster.

They met on the road at $5$ minutes past $4$ o'clock

and each man reached his destination at exactly the same time.

Can you say what time they both arrived?

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Locomotion and Speed Puzzles: $31$. -- A Walking Puzzle
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Speed & Distance Puzzles: $59$. A Walking Puzzle