The notice shall particularly specify what work is required to be done, and how it is to be done, and what materials shall be used in the construction and shall further specify that if the construction is not commenced within 60 days after notice is given and diligently and without interruption prosecuted to completion, the superintendent of streets shall cause the construction to be done, and the cost of the same shall be a lien on the property. However, upon petition by all of the affected property owners, the 60-day period may be waived and the superintendent of streets may immediately cause the construction to be done, and the cost of the same shall be a lien upon the property.