Snow began to fall during the morning of February 2 and continued steadily into the afternoon.
At noon a snowplow began removing snow from a road at a constant rate. The plow traveled 6 km from noon to 1 P.M. but only 3 km from 1 P.M. to 2 P.M. When did the snow begin to fall?
t = time
x(t) = distance
dx\dt = speed of the plow
b - the number of hours before noon that it began to snow
The Attempt at a Solution
I know that the speed of the plow is (6 + 3) /2 hours = 4.5km\hour
I am trying to figure out an expression for the height of the snow at time t and then use the given ingormation that the rate of removal R is constant, and thus, find the time it began to snow
Can somebody help me out please?