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Where is the F@$%($* Road?


Best Answer bonanova, 21 April 2013 - 08:02 AM

First try.

 

Spoiler for Brute force approach

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#1 BMAD

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Posted 21 April 2013 - 03:00 AM

After parachuting into the woods at night, you land right next to a sign that says : "Road: One Mile." But it has fallen over, and there's no way to know what direction the road is. Describe the shortest path you might take that will guarantee reaching (touching) the road. (You can't see the road until you reach it!) What's the maximum distance you might walk on your path?

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#2 bonanova

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Posted 21 April 2013 - 08:02 AM   Best Answer

First try.

 

Spoiler for Brute force approach


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#3 TimeSpaceLightForce

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Posted 21 April 2013 - 01:13 PM

Spoiler for


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#4 witzar

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Posted 21 April 2013 - 06:36 PM

Is the road a straight line?


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#5 BMAD

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Posted 21 April 2013 - 09:30 PM

Is the road a straight line?

You have no way of knowing since this is a new location for you


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#6 TimeSpaceLightForce

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Posted 22 April 2013 - 10:47 AM

 

Is the road a straight line?

You have no way of knowing since this is a new location for you

 

Spoiler for


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#7 BMAD

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Posted 22 April 2013 - 12:29 PM


I Do not understand



 




Is the road a straight line?

You have no way of knowing since this is a new location for you
 
Spoiler for

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#8 TimeSpaceLightForce

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Posted 22 April 2013 - 01:24 PM

 

 

I Do not understand



 



Is the road a straight line?

You have no way of knowing since this is a new location for you
 
Spoiler for

 

opps..i mean the minimum, but since you are asking for maximum..many miles should be the answer.


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#9 BMAD

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Posted 22 April 2013 - 03:10 PM

I disagree.  If you take the shortest path possible the maximum distance until you find the road, would not simply be many many miles.

 

 

 

 

 

I Do not understand



 


Is the road a straight line?

You have no way of knowing since this is a new location for you
 
Spoiler for

 

opps..i mean the minimum, but since you are asking for maximum..many miles should be the answer.

 


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#10 TimeSpaceLightForce

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Posted 22 April 2013 - 03:59 PM

 

I disagree.  If you take the shortest path possible the maximum distance until you find the road, would not simply be many many miles.

 

 

 

 

 

I Do not understand



 

Is the road a straight line?

You have no way of knowing since this is a new location for you
 
Spoiler for

 

opps..i mean the minimum, but since you are asking for maximum..many miles should be the answer.

 

 

Okey i  will get it..

What's the maximum distance you might walk on  your path . The shortest path that guarantee reaching the road has minimum and maximum. Maximum ..without walking  back.

 

As I understand the question :  What is the shortest or minimum possible distance to ensure reaching the road? Since the road is possible to be circular that maximum is also minimum.

To make it maximum we take the road to be a none straight end of the road.

 

So even it is a straight one if it is the " end of the road"  (non tangential) the answer is still 1+2pi..

 


Edited by TimeSpaceLightForce, 22 April 2013 - 04:01 PM.

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