Critics allege that the road maintenance dept. of a muncipality is inefficient, given that an average of $80,000$ unfilled potholes exist on its roads at any given time $($confirmed from official records$).$ The maintenance dept. repairs $200,000$ potholes in a year, on average $($confirmed from official records$).$ The dept. denies the charge, asserting that they fix a pothole, on average, in less than a month. From the numbers provided above, how long does it likely actually take the maintenance dept., on average, to fix a pothole?