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Posted by Denis Borris on 1/8/2009, 3:26 pm, in reply to "ignore part 2"
Part1: 15 days.
-object is to take 60 cans to point 40; then you can walk to point 100
-to do this, first take 120 cans to point 20
-since you need to eat 40 each trip, plus 20 last trip (not coming back),
then this takes 300 cans: 300 - 40 - 40 - 40 - 40 - 20 = 120
-similarly, end up with 60 at point 40: 120 - 40 - 20 = 60
-now you can get to point 100 with these 60 cans
-since you need 20 cans per day, then time is 300 / 20 = 15 days.
Part2: 236 cans.
-as with 1st puzzle, you want 120 at point 20, then 60 at point 40
-can be done with 240 cans by first taking 170 to point 10
-you need to eat 70: 240 - 20 - 20 - 20 - 10 = 170
-then eat 50; to point 20: 170 - 20 - 20 - 10 = 120
(then proceed as in 1st puzzle)
HOWEVER:
-can be done with 236 cans, first using point 8 (then point 20)
-you need to eat 56: 236 - 16 - 16 - 16 - 8 = 180
-then eat 60; to point 20: 180 - 24 - 24 - 12 = 120
(then proceed as in 1st puzzle)
-since you need 20 cans per day, then time is 236 / 20 = 11 4/5 days.
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