In the middle of the confounded desert, there is the lost
city of "Ash". To reach it, I will have to travel overland
by foot from the coast. On a trek like this, each person can
only carry enough rations for five days and the farthest we
can travel in one day is 30 miles. Also, the city is 120
miles from the starting point.
What I am trying to figure out is the fewest number of
persons, including myself, that I will need in our Group so
that I can reach the city, stay overnight, and then return
to the coast without running out of supplies.
How many persons (including myself) will I need to
accomplish this mission?
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Answer Posted / guest
Total 4 persons (including you) required.
It is given that each person can only carry enough rations
for five days. And there are 4 persons. Hence, total of 20
days rations is available.
1. First Day : 4 days of rations are used up. One person
goes back using one day of rations for the return trip. The
rations remaining for the further trek is for 15 days.
2. Second Day : The remaining three people use up 3 days of
rations. One person goes back using 2 days of rations for
the return trip. The rations remaining for the further trek
is for 10 days.
3. Third Day : The remaining two people use up 2 days of
rations. One person goes back using 3 days of rations for
the return trip. The rations remaining for the further trek
is for 5 days.
4. Fourth Day : The remaining person uses up one day of
rations. He stays overnight. The next day he returns to the
coast using 4 days of rations.
Thus, total 4 persons, including you are required.
| Is This Answer Correct ? | 13 Yes | 1 No |
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