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
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?
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
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.
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.
This equals about 37 minutes. When subtracted from 12 noon, one gets
I can't seem to get LaTex to work for some reason. I just get a blank screen when I try to preview.