Braingle Lite



Equidistant?

Category:Trick
Submitted By:eighsse
Fun:*** (2.24)
Difficulty:*** (2.83)



Sam and Lisa live in a city in Nevada, USA, whose streets run perfectly north-to-south and east-to-west. They are at the intersection of Harrison Street, which is north-south, and Jefferson Street, which is east-west. They are both walking to an intersection that is a few blocks east and a few blocks south from where they are now. They both take direct routes, using only two streets each (and therefore making only one turn each), but Sam takes Harrison Street while Lisa takes Jefferson Street. Assuming that neither encounters any obstacles, and that the turns take the same distance to complete, is there any reason why Sam's path or Lisa's path could be considered longer than the other's?

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Comments on this teaser


Posted by ThinksForFun11/20/13
Excellent Work! Sorry, no balloons or confetti for you; you missed them by one! :)

Posted by eighsse11/20/13
Thanks! And *shakes fist at you!*

Posted by charlottes-odd12/02/13
I got so confused by this :( But good teaser!

Posted by eighsse12/02/13
Thanks anyways hehe. Were you confused just by the reasoning, or by my actual explanation of the setup? Because, it's a really simple setup but I could have probably explained it better.

Posted by Babe12/22/13
Most boring teaser I have seen yet!! :( :( :(

Posted by eighsse12/22/13
Oh yeah, I forgot, deep thinking is boring. My bad ;)

Posted by cutebug12/22/13
Actually, Lisa's path was longer. Reason= She had been drinking and was staggering back and forth. :lol: :lol:

Posted by eighsse12/22/13
@cutebug: Haha, very well :lol:

Posted by jaycr12/22/13
The first thing I noticed was the category; trick. "Harrison Street, which is north-south, and Jefferson Street, which is east-west." Typically in the US streets run east and west and avenues run north and south.

Posted by eighsse12/22/13
Street name guidelines vary a lot. It doesn't seem, based on my research that I did for this teaser, that things like that are followed too strictly in most places. Good thinking, but it wasn't what I was going for :)

Posted by lukasiwicz12/22/13
This is less a "trick" teaser, than one that depends on a knowledge of spherical geometry. And indeed, there is another answer, which does make the teaser a "trick," to wit: Lisa's path is a bit longer because "Jefferson Street" is comprised of more letters, and hence is longer, in that sense, than "Harrison Street."

Posted by eighsse12/22/13
I personally think it's pretty tricky. The idea is, the minds of most people, even if they have a good understanding of spherical geometry, will not think about that, because road maps are projected so that road grids look precisely square, and because the effect of the curvature is never an issue because it is extremely small.

Posted by dsjt12/23/13
Another more likely cause for one of the routes to be longer by a larger margin is that one of them may have walked along a street that has a hill while the other walked along streets that were flat.

Posted by eighsse12/23/13
@dsjt: You're absolutely right, that is a much more likely cause. In fact, I thought of that too, but unfortunately, it was after submitting this teaser that it crossed my mind. I have already submitted the correction, but I haven't had any corrections be approved since I joined Braingle several months ago... so I dunno if it will be done.

Posted by Zag2407/21/14
The difference you've pointed out is comfortably under a millimeter -- I'll bet its a few microns. It is WAY more significant that the person going east, then south is somewhat less likely to have to step around a stop sign than the person going south then east. In any case, the extra up and down they would travel due to one sidewalk being broken and the other not would totally swamp your difference.

Posted by eighsse07/21/14
Agreed zag, but the point is that it takes some thought to even realize that this makes ANY difference at all, whether significant or infinitesimal. Granted it is irrelevant to the practicality of something like taking a walk... But when you consider that, for certain destinations, it could make you take an unnecessary trip 180 degrees around the equator... that's a big deal. In this teaser, it doesn't add up to anything, but the point is the fact itself, not the practical effect.




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