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#1 2008-09-23 08:40:50

tony123
Member
Registered: 2007-08-03
Posts: 230

ants

Five ants are on the corners of an equilateral pentagon with side of length 1. They each crawl directly towards the next ant, all at the same speed and traveling in the same orientation. How long will each ant travel before they all meet in the center?

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#2 2008-09-23 08:50:15

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: ants

aren't you given the ants speed?


A logarithm is just a misspelled algorithm.

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#3 2008-09-23 09:09:05

luca-deltodesco
Member
Registered: 2006-05-05
Posts: 1,470

Re: ants

perhaps it is invariable mikau (except for 0 speed ofcourse!)


The Beginning Of All Things To End.
The End Of All Things To Come.

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#4 2008-09-23 10:07:38

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: ants

Ooh, I guess 'how long' means 'how far'. I thought it meant 'for how much time'.


A logarithm is just a misspelled algorithm.

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#5 2008-09-24 06:32:23

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: ants

Based on a sketch and a minute's thought, I'd go with

.
No guarantees though.


Why did the vector cross the road?
It wanted to be normal.

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