==> pickover/pickover.13.p <== Title: Cliff Puzzle 13: Ladders to Heaven From: cliff@watson.ibm.com If you respond to this puzzle, if possible please send me your name, address, affiliation, e-mail address, so I can properly credit you if you provide unique information. PLEASE ALSO directly mail me a copy of your response in addition to any responding you do in the newsgroup. I will assume it is OK to describe your answer in any article or publication I may write in the future, with attribution to you, unless you state otherwise. Thanks, Cliff Pickover * * * Consider the following scenario. A standard ladder stretches from each country on the earth upward a distance equal to the distance from the earth to the moon. Assume: 1. the ladder is made out of a strong metal such as titanium, which will not break. 2. the ladder is inclined at a very steep angle, 70 degrees, for each country. 3. there is a breathable atmosphere. 4. the people (or teams of people) are allowed to use standard mountain climbing and camping gear, e.g. ropes, backpacks, etc. but not sophisticated electrical mechanisms, engines, etc. 5. a reward is given to whomever reaches the top of the ladder first: 1 million dollars to that person. In addition the country's national debt is wiped out. Questions: 1. Approximate how long it would take a person (or team of people) to reach the top of the ladder. Days? Weeks? Years? 2. Which country would be the first? 3. Is there any novel method you would suggest to achieve this goal? 4. Is this task impossible to carry out.