No person being a sweeper employed by the Council shall in the absence of any contract authorizing him so to do and without reasonable cause, resign his employment or absent himself from his duty without having given one month's notice to the Chairperson or shall neglect or without reasonable cause refuse to perform his duties.

The Council may by resolution direct that on or from such date as may be specified in the resolution, the provisions of this section shall apply in the case of any specified class of persons employed by the Council whose functions are intimately concerned with public health or safety.