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#1 2006-05-12 03:26:11

Math Guy
Member
Registered: 2005-10-12
Posts: 20

On the road to the Marrakesh Multiplex

A pilgrim needs to make a journey on foot between Casablanca and Marrakesh, to deliver movies to the new Marrakesh multiplex. It's an arduous and dangerous trip at best, and it takes six days. The most a traveler can carry for food and water is four days' worth.

I hope there's a hotel someplace in between.

There are no hotels. Here's the question: How many people must start out together, so that one of them can make it all the way to Marrakesh from Casablanca?

One other thing: the others who start out along with the pilgrim? They can't die along the way.

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#2 2006-05-12 03:41:13

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

Re: On the road to the Marrakesh Multiplex


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

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#3 2006-05-12 03:48:15

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,576

Re: On the road to the Marrakesh Multiplex

x + (6 - x) + n2x  < (n+1)4
6 + n2x < 4n + 4
2 + n2x < 4n
where n is the number of additional people that turn back.
and x is the number of days they travel before giving food to the loner to finish.


igloo myrtilles fourmis

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