(related to Problem: The Laborer's Puzzle)

The man said, "I am going twice as deep," not "as deep again." That is to say, he was still going twice as deep as he had gone already, so that when finished the hole would be three times its present depth. Then the answer is that at present the hole is $3$ ft. $6$ in. deep and the man $2$ ft. $4$ in. above ground. When completed the hole will be $10$ ft. $6$ in. deep, and therefore the man will then be $4$ ft. $8$ in. below the surface, or twice the distance that he is now above ground.

Thank you to the contributors under CC BY-SA 4.0!



Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

This eBook is for the use of anyone anywhere in the United States and most other parts of the world at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this edition or online at If you are not located in the United States, you'll have to check the laws of the country where you are located before using this ebook.