Tuesday, January 18, 2011

River Crossing

I have posted more complicated crossing problems before, but with another six inches of snow to shovel outside, this seems good enough to me.

A dad and two sons needed to cross the river.  They have a canoe and paddles, but no other equipment.  The canoe has a weight limit of 150 lbs.  Luckily, dad weighs 150 lbs.  The two sons weigh 75 lbs each.  How can the all get across the river using the canoe?


  1. Two sons go across.
    One son comes back.
    Dad goes across.
    Son comes back.
    Two sons go across.

  2. Father is F and children are C1 and C2.
    First C1 and C2 cross the river and C2 gets down.
    C1 goes back and gets down.
    F gets in and crosses the river and gets down.
    C2 gets in and come back.
    C1 gets in along with C2 and crosses the river.
    Both C1 and C2 get down.
    Now F, C1 and C2 are all on the other side of the river.


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