What is the shortest time to get everyone across the bridge?

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  1. Rubes profile image61
    Rubesposted 9 years ago

    What is the shortest time to get everyone across the bridge?

    Four people are trying to cross a bridge.   It takes each person a different amount of time to cross the bridge - it takes the first person one minute, the second two minutes, the third five minutes and the fourth ten minutes. They must cross the bridge in pairs, traveling at the slower speed so if the one minute person went with the ten minute person, it would take a total of ten minutes. Since there is only one flashlight one person must come back across the bridge, then another pair can cross. What is the shortest time to get everyone across the bridge?

  2. DonnyBoy profile image56
    DonnyBoyposted 9 years ago

    What answer?


    1. Sudharshan Kumar profile image55
      Sudharshan Kumarposted 6 years agoin reply to this


  3. Rubes profile image61
    Rubesposted 9 years ago

    Sorry that is not the answer.  There is enough data to answer the question.

    1. Sudharshan Kumar profile image55
      Sudharshan Kumarposted 6 years agoin reply to this

      No, there is enough data to ans the question... the ans is 17...

  4. hublim profile image75
    hublimposted 9 years ago

    19 minutes
    1st and 2nd guy
    1st comes back
    1st and 4th
    1st comes back
    1st and 3rd

    hopefully the torch batteries don't run out, even better if it's a wind up torch.

  5. Quilligrapher profile image82
    Quilligrapherposted 9 years ago

    Good question. 19 minutes would be my answer.


  6. profile image0
    pauls_boatposted 9 years ago

    it cannot be done as you said there must be two peopl going across at the same time so if two go across then one cannot come back with the torch for the other peopl to cross but if they all cross at the same time in two pairs then it would take 10 minits which is the time for the slowest one to cross

  7. gamerjon profile image53
    gamerjonposted 9 years ago

    The answer is definitely 19.
           2 : 1
           5 : 1

    2 + 1 + 5 + 1 + 10 = 19


  8. profile image43
    wlyshenposted 8 years ago

    The strategy is that the slowest 2 person must cross together, and they should not return.

    Assume that "1" means person who takes one minute to cross, "5" means person who takes five minute, etc..

    Follow these sequences:

    - 1 and 2 cross (2 mins)

    - 1 return (1 min)

    - 5 and 10 cross (10 mins)

    - 2 return (2 mins)

    - 1 and 2 cross (2 mins)

    Total = 2+1+10+2+2 = 17 minutes

  9. Shahid Bukhari profile image60
    Shahid Bukhariposted 7 years ago

    What Bridge ...

    Is it a River or an Abyss, they have to cross ...

    Purpose makes Time and Distances disappear.

    Purpose, Transcends all hurdles ...

    And Realizing the Purpose of Being ... makes Acting possible with Good Intent ... Faithfully ...

    Faith, is the Light of Life ...

    Humanity, has to make all crossings over, together ... as one ... and it is rather enjoyable.

    This is the Applied Mathematics of Belief.

    This is the Truth of Life.


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