Three women and three children wish to cross a river in a canoe that will hold only one woman and or two children. they can all row on their own but no one can swim. if a onne way trip in the canoe takes ten minutes, what is the minimum time in which all six people can cross the river

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23-05-2017
Mathematics

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Three women and three children wish to cross a river in a canoe that will hold only one woman and or two children. they can all row on their own but no one can swim. if a onne way trip in the canoe takes ten minutes, what is the minimum time in which all six people can cross the river

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apologiabiology apologiabiology · Answer 1 · 2017-05-23T08:43:31+02:00

(w,k)
that is amount of women and children lefton original side

ok, first realize you must get children across first because who will row the boat back

first trip: 10min, 2 children across, (3,1)
2nd trip: 20min, 1 kid cross back (3,2)
3rd trip: 30min, 2 kids cross (3,0)
4th trip: 40 min, 1 kid cross baack (3,1)
5th trip: 50 min, 1 woman cross (2,1)
6th trip: 60 min, 1 kid cross back (2,2)
7th trip: 70 min, 1 woman cross (1,2)
8th trip: 80 min, 1 kid cross back (1,1)
9th trip: 90 min, 1 woman cross (0,1)
10th trip: 100min, 1 kid cross back (0,2)
11th trip: 110 min, 2 kids cross back (0,0)

min time is 110 mins or 1hr 50min