Pasted

A traveler needs to walk from Jonestown to Smithtown.
The journey from Jonestown to Smithtown takes six days of walking.
An individual traveler can only carry four days of food.
How many companions would the traveler need to accompany him part way to make the journey successfully while ensuring the companions can make it back to Jonestown without anyone running out of food?
 Scroll way down below to see the answer and explanation.
                                   Answer: 3
 Day 1:
 All three start out on the journey. 
All three eat from companion 1's pack that day.
At the end of the day:
	Companion 1 has one day of food left.
	Companion 2 and the Traveler still have four days of food left.
 Day 2:
 Companion 1 heads back with their remaining one day supply of food.
Companion 2 and the Traveler continue on, eating from Companion 2's pack.
At the end of the day:
	Companion 1 safely reached Jonestown
	Companion 2 has two days of food left
	Traveler still has four days of food left
 Day 3:
 Companion 2 heads back with their remaining two day food supply.
Traveler continues on, eating from his pack.
At the end of the day:
	Companion 2 is one day away from Jonestown with one day of food left.
	Traveler has three days of food left.
 Day 4: 
 Companion 2 continues return trip, eating their last day of food.
Traveler continues on, eating from their pack.
At the end of the day:
	Companion 2 safely reached Jonestown.
	Traveler still has two days of food left.
 Day 5:
 Traveler continues on, eating from their pack
At the end of the day:
	Traveler still has one day of food left
 Day 6:
Traveler continues on, eating from their pack
At the end of the day:
	Traveler reaches Smithtown.