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## Homework Statement

A snow blower clears 300 cubic ft of snow per hour regardless of depth of snow. At some point before noon, it starts snowing and snows steadily all day. A man starts clearing a sidewalk with the snow blower at noon. He clears 200 feet in the first hour, and 100 feet in the second hour. When did it start snowing?

## The Attempt at a Solution

not too sure about this. the best i could come up with was dx/dt = x - H where x is the amount of snow in cubic feet and H is the amount of snow the blower clears. then i got stuck trying to separate variables and integrate. and i don't have an initial condition to get rid of the constant from integration, only two other conditions. how do i use these?

any help is appreciated. thank you.