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Solution:
Jordan takes two other hikers with him. Each hiker starts out with a four day supply of food and water. After the first day, the first hiker gives a one day supply to each Jordan and the second hiker. This leaves the first hiker with a one day supply to go home and Jordan and the second hiker now each have a four day supply again. After the second day, the second hiker gives Jordan a one day supply and keep a two day supply for himself so that he can get home. This gives Jordan a four day supply of food and water, and now he has enough to reach his destination.