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Old December 11th, 2006, 07:42 AM
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Default 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?


.
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Last edited by CaptainBlack; December 11th, 2006 at 08:00 AM.
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Old December 11th, 2006, 07:56 AM
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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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Old December 11th, 2006, 07:58 AM
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Originally Posted by OReilly View Post
What does word "snowplough" means?
It's English for Snowplow

RonL
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Old December 11th, 2006, 08:00 AM
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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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Old December 11th, 2006, 08:56 AM
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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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Old December 11th, 2006, 09:08 AM
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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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Old December 11th, 2006, 09:17 AM
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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
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Last edited by CaptainBlack; December 11th, 2006 at 02:35 PM.
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Old December 11th, 2006, 03:03 PM
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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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Old December 11th, 2006, 10:38 PM
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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.
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Old December 11th, 2006, 10:54 PM
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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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Old December 12th, 2006, 05:59 AM
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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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Old December 12th, 2006, 06:31 AM
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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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Old December 12th, 2006, 09:04 AM
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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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Old December 12th, 2006, 09:14 AM
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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.

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

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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Old December 12th, 2006, 12:04 PM
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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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