Henry Ernest Dudeney/Puzzles and Curious Problems/64 - The Bath Chair
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Puzzles and Curious Problems by Henry Ernest Dudeney: $64$
- The Bath Chair
- A correspondent informs us that a friend's house at $A$, where he was invited to lunch at $1$ p.m., is a mile from his own house at $B$.
- He is an invalid, and at $12$ noon started in his Bath chair from $B$ towards $C$.
- His friend, who had arranged to join him and help push back, left $A$ at $12.15$ p.m., walking at $5$ miles per hour towards $C$.
- He joined him, and with his help they went back at $4$ miles per hour, and arrived at $A$ at exactly $1$ p.m.
- How far did our correspondent go towards $C$?
The illustration in the book shows $C$ as being in completely the opposite direction from $B$ to $A$.
That is, $B$ is directly between $A$ and $C$.
The real puzzle is why he set off in the direction of $C$ when his destination was in fact $A$, which is going the wrong way.
Click here for solution
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Locomotion and Speed Puzzles: $64$. -- The Bath Chair
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Speed & Distance Puzzles: $78$. The Bath Chair