Three Friends Puzzle Solution

on Sunday, 30 September 2012
In this puzzle we have to make sure that no person is in danger.

Let the names of the persons be A, B and C.

So they start from their starting point and after 1st day A give it's 2 days resource to B and C. So A has 1 day resource left with him which he can use to return back to the starting point. Now B and C starts again and they have a 4 day supply again because of the food and water given by A.

After the second day B gives his 1 day supply to C and keeps the remaining 2 days supply with him so that he can return safely to the starting point.

Now after 2nd day C again has 4 days supply so he can continue towards the destination point and will reach there safely.

So only 1 person can reach the destination safely.

Images:

A - 4 days                                                                                                                  A - 3 days
B - 4 days  ----------------------------------------------------------------------------------- B - 3 days
C - 4 days                                           after 1st day                                                  C - 3days

A gave its 2 days supply to B and C. So now

A - 1 day                                                                                                                                
B - 4 days  ---------------------------------------------------------------------------------- B - 3 days
C - 4 days                                           after 2nd day                                                 C - 3days

B gave it's 1 day supply to C and B returns back.
B - 2 days
C - 4 days

So C has 4 days resources and can cover the 4 remaining days.

2 comments:

ashwiin said...

Consider the case :

Assume A gives all his resources to B and C equally. Each will have resources that can help them servive for 2 more extra days. So 2 members can actually reach to the destination.

With A not travelling at all.

Admin said...

Hi Ashwiin

See the Puzzle Carefully. It says each person can carry enough food and water only for 4 days. If A gives his resources to B and C they cannot carry at the start because maximum they can carry is limited to 4 days only. I hope this solves your doubt.

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