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Oct 11, 2007

The Expedition (Logic Brainteaser Puzzle)

An expedition to explore the Lurgi desert is about to set off. It consists of four men and each one has enough food to last him five days. After some distance, one man gets sick and has to turn back. He takes with him just enough food to last him till he gets back to base. Then the second man does the same, and the third. How many day’s journey was the last man able to make into the desert and get back safely? (You must assume that the men only travel in units of one day and that they can give food to the others.)



Again, in order to make it more interesting, I am not giving the answer or the clue straight. Please try to give your answer in the comment box at my blog or by yahoo groups email, I’ll check it out as soon as possible, and I’ll give the clue and the answer eventually. Thx guys!!

69 comments:

Anonymous said...

four days??

Andri said...

thats right

Unknown said...

I came up with 4 days plus 1 extra food that the last man couldn't use.

The wording is a little ambiguous. I think you should clarify that the first man leaves after one day, 2nd after two days etc.

Anonymous said...

four days...........

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four days minimum, given that each man returns after 2 days,returns (another 2 days) and gives 1 day of food to number 4. Number 4 will have 8 days of food and can, therefor, travel 4 days way and 4 days back

www.mathinenglish.com said...

four days minimum, given that each man returns after 2 days,returns (another 2 days) and gives 1 day of food to number 4. Number 4 will have 8 days of food and can, therefor, travel 4 days way and 4 days back.

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its 8 days. 4 days for exploring n 4 days for coming back. its like,
5,5,5,5:0th day(amount of food per day before journey).
4,4,4,4:1st day, but -1 as the 4th person is going back so total will be
4,4,4,3:1st day.
similarly,3,3,3,'3':2nd day(since 4th person is not der,his food amount wil b same)but -2,so 2nd person can go back which is a 2days trip,so total wil b 3,3,3,1:2nd day.
2,2,3,1:3rd day(3rd n 4th persons' food wil remain same)but -3,so 3rd person can go back. total is
2,2,1:3rd day.
now total amount of food per day is 5, therefore 4th person can travel one more day(i.e 4 days), and can make a return journey for another 4 days. so total is 8 days assuming food doesnt get spoiled.

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