Shortest Path for Spider to Capture Fly in 12x30 Room

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Discussion Overview

The discussion revolves around finding the shortest path for a spider to reach a fly in a 12x30 foot room with a 12-foot ceiling. The problem involves determining the distance the spider must travel, considering the positions of both the spider and the fly on opposite walls.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant suggests that the problem can be simplified by treating the walls as if they formed a box that can be flattened, allowing for a straight line to be drawn from the spider to the fly.
  • Another participant mentions that if the spider walks directly along the middle of the floor or ceiling, the distance is 42 feet, but there exists a shorter path of 40 feet.
  • There is a request for the shortest distance to be calculated in inches.
  • A participant acknowledges the previous existence of a similar problem, indicating that this is not a new question.

Areas of Agreement / Disagreement

Participants express differing views on the shortest path and the method of calculation, indicating that the discussion remains unresolved with multiple competing approaches to the problem.

Contextual Notes

The discussion does not resolve the assumptions about the path taken by the spider or the implications of flattening the walls, leaving these aspects open for further exploration.

dontdisturbmycircles
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A 12x30 foot room has a 12-foot ceiling. In the middle of the end wall(across the 30 foot gap of course), a foot above the floor, is a spider. The spider wants to capture a fly in the middle of the opposite wall, one foot below the ceiling. What is the shortest path the spider can take? (distance)

Good luck!
 
Last edited:
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Answer (highlight to view):
I think the problem is stated too simply as both spider and fly are on the line that runs through the centers of their respective walls, parallel to each other. In the general case, treating the walls as if they formed a box, cut along the edges so that the box can be flattened. Then draw a straight line from spider to fly.
eom
 
Find the shortest distance he has to travel in inches :biggrin: .
 
Last edited:
dontdisturbmycircles said:
A 12x30 foot room has a 12-foot ceiling. In the middle of the end wall(across the 30 foot gap of course), a foot above the floor, is a spider. The spider wants to capture a fly in the middle of the opposite wall, one foot below the ceiling. What is the shortest path the spider can take? (distance)

A similar problem has been posted before (quite a while ago, admittedly):
https://www.physicsforums.com/showthread.php?t=49221

But your numbers work out far better-- If the spider walks directly along the middle of the floor/ceiling, he walks 42 feet. But there is a shorter path where he can get there in 40 feet.

DaveE
 
Correct. :smile:

Sorry for the double post.

I need to find some better brain teasers to post here. I suppose it will be hard to stump a science forum. :rolleyes: :-p
 

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