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#1 2013-09-10 17:52:05

MathsIsFun
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Registered: 2005-01-21
Posts: 7,535

Cars Across the Desert Puzzle


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#2 2013-09-10 20:21:09

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,449

Re: Cars Across the Desert Puzzle

Hi;

A very interesting problem. I could not find a solution with 3 cars. Have you ever seen a proof or any argument why 4 are necessary?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2013-09-10 22:14:00

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Cars Across the Desert Puzzle

No I haven't.

But I have been thinking how to rescue the empty cars.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#4 2013-09-10 23:50:01

Nehushtan
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From: London
Registered: 2013-03-09
Posts: 613
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Re: Cars Across the Desert Puzzle


157 books currently added on Goodreads

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#5 2013-10-21 15:13:13

Creeper_Mode
Member
Registered: 2013-10-21
Posts: 2

Re: Cars Across the Desert Puzzle

Nehushtan wrote:

Only one question. It doesn't says that you will be able to tow another car! Even if you can. It will use more patrol that's wouldn't take you to quarter a desert per car!


Creeper_mode - Amateur Math solver
Love Logic Puzzles.

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#6 2013-11-24 10:26:25

Grimbal
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Registered: 2013-11-24
Posts: 7

Re: Cars Across the Desert Puzzle

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#7 2014-07-30 08:57:20

MAJ Trey
Member
From: Maryland, USA
Registered: 2014-07-30
Posts: 1

Re: Cars Across the Desert Puzzle

[hide = 4 Cars without salvage]My solution also uses 4 cars, but each car should be able to return to the start point (3 cars) or get to the other side (1 car)
Each car has a different role and travels different distances
Car 1:  Travel 1/6, Transfer 1/6 to either Car 2 or Car 3, Return 1/6
Car 2:  Travel 1/6, Receive 1/6 from Car 1, Travel another 1/6, Transfer 1/6, Return 1/6, Receive 1/6 from Car 1, Return 1/6
Car 3:  Travel 1/6, Receive 1/6 from Car 1, Travel another 1/6, Receive 1/6 from Car 2, Travel 1/6, Transfer 1/6 to Car 4, Return 1/6, Receive 1/6 from Car 2, Travel 1/6, Receive 1/6 from Car 1, Travel 1/6
Car 4 [With VIP]: Travel 1/6, Receive 1/6 from Car 1, Travel another 1/6, Receive 1/6 from Car 2, Travel 1/6, Receive 1/6 to Car 4, Travel 1/2 to destination

The obvious issue is the time waiting for Cars 1 and 2 to constantly return and refill.  But it is feasible.[/hide]

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