One morning it began to snow very hard and continued to snow steadily through the day. A snowplow set out at 8: to clear a road, clearing 2 miles by…

One morning it began to snow very hard and continued to snow steadily through the day. A snowplow set out at 8:00 A.M. to clear a road, clearing 2 miles by 11:00 A.M. and an additionalmile by 1:00 P.M. At what time did it start snowing. (You may assume that it was snowing at a constant rate and that the rate at which the snowplow could clear the road was inversely proportional to the depth of the snow.)

Let the depth of snow at time t be represented by D(t)dD/dt = kSo, D(t) = kt +CLet n represent the amount of time before the snow plow got to work so thatD(-n) = k(-n) + C = 0-kn + C = 0C =…