Shortest Path for Spider to Capture Fly in 12x30 Room

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SUMMARY

The shortest path for a spider to capture a fly in a 12x30 foot room with a 12-foot ceiling is 40 feet. The spider starts at the center of one end wall, one foot above the floor, and the fly is positioned in the middle of the opposite wall, one foot below the ceiling. By treating the walls as a flattened box, the spider can take a direct line to minimize the distance traveled. This problem illustrates the application of geometric principles to find optimal paths in three-dimensional spaces.

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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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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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