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Math Help - snails

  1. #1
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    snails

    Hi I am really stuck with my home work. Please help.
    the question is A boy watched aconvoy of 10 identical snails cross asmall path and measured the time the whole process took. It took exactly 50 minutes. This was the time taken when the first snail came on the path until the last left the path. The snails travelled nose to tail in asingle file and the path could only accomodate 8 snails at any one time. the snails travelled at the same speed and each snail was on the path for the same time. For how long was each snail on the path.

    My sister says less than 50 minutes I do not agree. Please help.
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  2. #2
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    listen to your sister
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  3. #3
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    snails

    Skeeter
    can you please show me how you got to this conclusion.
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  4. #4
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    let each snail have a length = s

    the "train" of snails traveled a length of 18s in 50 min, or

    \frac{18s}{50} = \frac{9s}{25} units/min ... so the speed of a single snail is \frac{9s}{25} units per min.

    the path is 8s units wide ... distance/speed = time ...

    \frac{8s}{\frac{9s}{25}} = \frac{200}{9} \approx 22.2 min
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  5. #5
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    snails

    Skeeter
    thanks. you are agenius.
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  6. #6
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    Hi Skeeter can you please tell me where the 18s came from because there are 10 snails not 18
    Thanks a confused Jaffa
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