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17 replies to this topic

#11 nightmare

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Posted 05 December 2008 - 07:06 AM

The shortest distance is indeed a straight line, but you are neglecting that he is also 8 km west of his cabin to begin with.



Sorry this is so crude, but it should get the point across.



Okay so by combining your drawing and my conclusion, I had to add three miles to my assumption and now change my answer.

Spoiler for my new calculation

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#12 woon

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Posted 05 December 2008 - 07:24 AM

Spoiler for well.... my calculation

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#13 bonanova

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Posted 05 December 2008 - 09:07 AM

Spoiler for PT can get back in
Re Chuck Norris,
Spoiler for You can lead a horse to drink

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#14 Yoruichi-san

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Posted 05 December 2008 - 09:38 AM

Spoiler for I'm getting...

Edited by Yoruichi-san, 05 December 2008 - 09:44 AM.

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Women are definitely stronger. We are [Fe]males, after all...

Some of what makes me me is real, some of what makes me me is imaginary...I guess I'm just complex. ;P

<3 BBC's Sherlock, the series and the man. "Smart is the new sexy."

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#15 nobody

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Posted 05 December 2008 - 11:24 AM

Spoiler for well.... my calculation

Your error is assuming when s(1) is minimum, then T will be also minimum.
If you calculate in a math way, he shouldn't go straight to north, but 2.82 km. east of it.

As I 've forgotten the derivation of sqrt's, I reached result of 111 minutes by trying 2,3,4 for 2.82 value, and giving 3 km. to east travel, I got 111.
Thanks to Bonanova, as he reminded me derivations, and I managed to get the result without try and error.

Really, this is a math problem and it isn't possible to get it without derivations.


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#16 Prime

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Posted 06 December 2008 - 01:45 AM

I say... Hasn't Professor any water at home? Per Bonanova's calculations, the distance they traveled from their stop to water is only slightly shorter than the distance from that rest point to home. (It's something like 7 km vs. 9 km.) And if the horse refuses to go in any other direction, but towards the water, wouldn't it also insist on taking the shortest path to the river?
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Past prime, actually.


#17 Ionno

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Posted 08 December 2008 - 12:53 AM

It started to heavily down pour and the Professor used his shirt to collect water to quench the horses thirst, then they returned home in a striaght line.
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#18 Prof. Templeton

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Posted 08 December 2008 - 01:24 AM

It started to heavily down pour and the Professor used his shirt to collect water to quench the horses thirst, then they returned home in a striaght line.

Actually Prof. T used
Spoiler for his

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