Problem of the Day
A new programming or logic puzzle every Mon-Fri

Sinking Island

You and 3 friends are partying it up on your private island late one night when all of a sudden the sirens go off. The island is sinking. The only way off the island is by walking across an old wooden bridge which can only support the weight of 2 people at a time. Since its night time you'll want to make sure 1 of the 2 people crossing the bridge brings a flashlight so you don't accidentally walk off the bridge. Unfortunately you only have 1 flashlight.

Some of your friends move slower than others. For example, if you want to cross the bridge with Friend C it will take 5 minutes because you can't leave them behind without the flashlight. Here is the time chart of how long it takes each friend to cross.

You - 1 minute
Friend B - 2 minutes
Friend C - 5 minutes
Friend D - 10 minutes

What's the fastest time everyone can get off the island?

Permalink: http://problemotd.com/problem/sinking-island/

Comments:

  • tehMagik - 10 years, 9 months ago

    you = A

    A & B -> 2 min. A <- 1 min C & D -> 10 min B <- 2 min A & B -> 2 min

    17 min total

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  • Max Burstein - 10 years, 9 months ago

    Nice work! 17 is indeed the answer

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  • Anonymous - 10 years, 9 months ago

    you = A <- holds flashlight location a bridge cost location b (total) C+D A+B -> 2 min 0 min C+D A+B 2 min A+C+D A<- 1 min B 2 min A+C+D B 3 min D A+C -> 5 min B 8 min D A+B+C 8 min D A <- 1 min B+C 9 min A+D B+C 9 min A+D -> 10 min 19 min A+B+C+D 19 min

    This should be solution if i am not mistaken, still have to pogram it.

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  • Carlos - 10 years, 9 months ago

    You = A; A+B -> 2m; A <- 1m; C+D -> 10m; B <- 2m; A+B -> 2m; Total time: 2+1+10+2+2 = 17m;

    A bit too easy this one, assuming that i am correct :D

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  • dmguerra - 10 years, 9 months ago

    a and b cross together - 2 a goes back - 1 c and cross together - 10 b goes back - 2

    a and b cross together - 2

                                          17
    

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