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Math Help - Need to cross a bridge...

  1. #1
    Junior Member Bartimaeus's Avatar
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    Question Need to cross a bridge...

    Another homework problem...

    Andrea, Bill and Charlotte need to cross a bridge as quickly as possible.
    Andrea can walk across in 10 minutes, Bill walks it in 5 minutes and Charlotte walks it in 2 minutes. There is also a bicycle available which can thake any one person across the bridge in one minute. It cannot take more than one person at a time.

    Explain how it is possible for the trioto cross the bridge in 3 minutes or less. Give distances [fractions of the length of the bridge] and/or times travelled on foot and on bicycle for each person.

    Please include:
    - A correct distance for one person to ride the bicycle
    - A correct distance for another to ride the bicycle
    - A correct description of how it is done.

    Thankyou for reading and hope you can help.
    Last edited by Bartimaeus; July 29th 2006 at 12:15 AM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Bartimaeus
    Another homework problem...

    Andrea, Bill and Charlotte need to cross a bridge as quickly as possible.
    Andrea can walk across in 10 minutes, Bill walks it in 5 minutes and Charlotte walks it in 2 minutes. There is also a bicycle available which can thake any one person across the bridge in one minute. It cannot take more than one person at a time.

    Explain how it is possible for the trioto cross the bridge in 3 minutes or less. Give distances [fractions of the length of the bridge] and/or times travelled on foot and on bicycle for each person.

    Please include:
    - A correct distance for one person to ride the bicycle
    - A correct distance for another to ride the bicycle
    - A correct description of how it is done.

    Thankyou for reading and hope you can help.
    A starts out on the bicycle, and B and C start walking.

    A drops the bicycle when he 7/9-th of the way across, and walks from
    there, arriving (if I have done the sums correctly) 3 minutes after starting
    out.

    C walks 7/9-th of the way, picks up the bicycle and rides back to 4/9-th
    of the distance across the bridge, then walks the rest of the way across
    the bridge, arriving 3 minutes after starting.

    B walks until they pick up the bicycle 4/9-th of the way across the
    bridge, and arrive at of before 3 minutes after starting.

    I leave the remaining detail to you to fill in.

    Diagram is in attachment.

    RonL
    Attached Thumbnails Attached Thumbnails Need to cross a bridge...-gash.jpg  
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  3. #3
    Junior Member Bartimaeus's Avatar
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