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Topic: Fly problem, alternative solution?
Replies: 6   Last Post: Oct 15, 2003 4:05 PM

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de Valmont

Posts: 23
Registered: 12/12/04
Re: Fly problem, alternative solution?
Posted: Feb 8, 1997 2:29 PM
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>
> If you notice the whole thing lasts 2 hours, you see at once the
> answer is 150 miles.
> But you might instead work out that the first leg of the fly's
> trip lasts 1.6 hours and is 120 miles long; the second leg is 1/5 as
> long, 24 miles; the third, likewise, is 4.8 miles; and so on. You sum
> the infinite series (a geometric one)... and get 150 miles, the hard way.


Yes, it is rather simple:

s1*SUM(C^n,n=1,oo) where C = V1/V2 (If you have one train as a refernece point)


>
> The story goes, someone gave this to von Neumann and the latter gave
> the answer in a few seconds.
> -- "Ah, of course you saw the quick method... You know, some people
> try to sum the infinite series..."
> -- "What do you mean?... I _did_ sum the infinite series..."
>
>


I've heard that one before.

//Luka
--
------------------------------------
mailto:devalmont@geocities.com
http://www.geocities.com/CapeCanaveral/1630/
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