Problem 8. (Bonus, 15pts) In a parallel universe, citizens have true winters: with snow, horse-ride sleights and all.... On the morning of one such marvelous day, the snow begins to fall and continues steadily into the afternoon. At noon, a snowplow begins removing snow from a road at a constant rate. The plow travels 6km from noon to 1pm, but only 3km from 1pm to 2pm. When did the snow begin to fall? As usual, include all relevant calculations to justify your solution and explain carefully. (Hint: Think of the amount/height of snow that has fallen.)