Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

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

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,552

Cars Across the Desert Puzzle


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

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,107

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

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

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,552

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

Offline

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

Nehushtan
Member
From: London
Registered: 2013-03-09
Posts: 615
Website

Re: Cars Across the Desert Puzzle


160 books currently added on Goodreads

Offline

#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.

Offline

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

Grimbal
Member
Registered: 2013-11-24
Posts: 7

Re: Cars Across the Desert Puzzle

Offline

#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]

Offline

Board footer

Powered by FluxBB