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Math Help - Question 10

  1. #1
    Grand Panjandrum
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    Question 10

    ImPerfectHacker has requested that I post this problem - allegedly because
    he does not understand it. It does not look too difficult to me, though a bit
    fiddly.

    RonL


    One day it started snowing at a heavy and steady rate. A snowplough
    started out at noon, going 2 km the first hour and 1 km the second hour.
    What time did it start snowing?


    .
    Last edited by CaptainBlack; December 11th 2006 at 06:00 AM.
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  2. #2
    Senior Member OReilly's Avatar
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    Quote Originally Posted by CaptainBlack View Post
    One day it started snowing at a heavy and steady rate. A snowplough
    started out at noon, going 2 km the first hour and 1 km the second hour.
    What time did it start snowing?

    [/SIZE][/FONT]
    What does word "snowplough" means?
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by OReilly View Post
    What does word "snowplough" means?
    It's English for Snowplow

    RonL
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    Senior Member OReilly's Avatar
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    Quote Originally Posted by CaptainBlack View Post
    It's English for Snowplow

    RonL
    Same question. What does "snowplow" means?
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    Quote Originally Posted by OReilly View Post
    Same question. What does "snowplow" means?
    Hello,

    where do you live?

    But nevertheless have a look here: Snowploughs

    EB
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    Grand Panjandrum
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    Quote Originally Posted by earboth View Post
    Hello,

    where do you live?

    But nevertheless have a look here: Snowploughs

    EB
    A better reference if you can find it is the Mr Plow episode of the Simpsons.

    RonL
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    Grand Panjandrum
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    Quote Originally Posted by OReilly View Post
    What does word "snowplough" means?

    I presume you know what snow is.

    A snowplough is a vehicle used for clearing snow from railways or roads
    using something vaguely like a bulldozer blade.

    I would upload a picture, but there seems to be something wrong with
    the upload system at present, so lets try this

    Google Image Result for http://upload.wikimedia.org/wikipedia/en/thumb/d/d3/Snowplow.jpg/300px-Snowplow.jpg

    RonL
    Last edited by CaptainBlack; December 11th 2006 at 12:35 PM.
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    Grand Panjandrum
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    Quote Originally Posted by CaptainBlack View Post
    ImPerfectHacker has requested that I post this problem - allegedly because
    he does not understand it. It does not look too difficult to me, though a bit
    fiddly.

    RonL


    One day it started snowing at a heavy and steady rate. A snowplough
    started out at noon, going 2 km the first hour and 1 km the second hour.
    What time did it start snowing?


    .
    You will need to make a number of assumptions in order to develop a solution of this problem. The most important is that the plough can clear a fixed volume of snow per unit time.

    The other assumptions are fairly standard and I will leave those to the solvers.

    RonL
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  9. #9
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    The correct answer (or what I believe to be it) is in the attached pdf file. I hope it's there, I've never uploaded one of these before.
    Attached Files Attached Files
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  10. #10
    Grand Panjandrum
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    Quote Originally Posted by BubbleBrain_103 View Post
    The correct answer (or what I believe to be it) is in the attached pdf file. I hope it's there, I've never uploaded one of these before.
    As I said not difficult just a bit fiddly

    RonL
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by CaptainBlack View Post
    As I said not difficult just a bit fiddly

    RonL
    Bizzare. Looking at the problem there doesn't seem to be nearly enough information to solve it.

    -Dan
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  12. #12
    Grand Panjandrum
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    Quote Originally Posted by topsquark View Post
    Bizzare. Looking at the problem there doesn't seem to be nearly enough information to solve it.

    -Dan
    Ahh.. but there is my dear squark there is..

    On a serious note I make it three unknowns (sweep rate, snow accumulation rate, and time at which snow started)
    and three equations, swept path at noon, ay 13:00, and at 14:00. That does not guarantee that a solution can be
    found it should at least give hope that it can be found.


    RonL
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    What supprises me is that non of you guys heard this problem. I definetly knew CaptainBlank has heard of it (for some reason), and would bet on Soroban.
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  14. #14
    Eater of Worlds
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    I have heard of it. I tackled it years ago in DE.

    What's interesting is that the answer is related to the golden ratio.

    [tex]\frac{\sqrt{5}-1}{2}[/tex]

    This equals about 37 minutes. When subtracted from 12 noon, one gets

    11:23 am.

    I can't seem to get LaTex to work for some reason. I just get a blank screen when I try to preview.
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  15. #15
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by galactus View Post
    I can't seem to get LaTex to work for some reason. I just get a blank screen when I try to preview.

    MathGuru says he's working on the problem.

    -Dan
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