(a) Every owner, lessee and/or occupant owning, leasing and/or occupying any premises abutting any concrete sidewalk in the Town shall, before 6:00 p.m. each day, remove from such sidewalk all snow and/or ice.

(b) The board of trustees shall cause to be removed all snow and ice remaining on any concrete sidewalks after 6:00 p.m. of any day and the cost thereof shall be assessed to the owner of the premises abutting the sidewalk.