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Cornering a ladder


Best Answer superprismatic, 09 May 2013 - 04:13 PM

Spoiler for my solution

Go to the full post


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6 replies to this topic

#1 bonanova

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Posted 09 May 2013 - 09:40 AM

Two hallways, of widths 4 and 6 feet, meet at a corner. You and a friend are borrowing a 14-foot ladder and need to get it past the corner. If the ends of the ladder are kept at the same height, is it possible to carry the ladder from one hallway to the next? What is the longest ladder that can pass?
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#2 BobbyGo

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Posted 09 May 2013 - 02:52 PM

Spoiler for


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#3 jhawk

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Posted 09 May 2013 - 04:03 PM

Spoiler for I make it to be


Edited by jhawk, 09 May 2013 - 04:06 PM.

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#4 BobbyGo

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Posted 09 May 2013 - 04:10 PM

Spoiler for

 

Of course, that doesn't factor in the thickness of the ladder. 

 

Spoiler for For a 14-foot ladder...

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#5 superprismatic

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Posted 09 May 2013 - 04:13 PM   Best Answer

Spoiler for my solution


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#6 Xavier

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Posted 09 May 2013 - 04:21 PM

I've been lurking here. for once let me post :blush:

 

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#7 bonanova

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Posted 10 May 2013 - 12:30 AM

SP and Xavier both have it. SP by a nose. Nice solve both.
Xavier, welcome to active duty!
 
BobbyGo made an assumption which only holds when the halls are of equal widths,
But provided a maximum ladder thickness as well.

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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