In case of such designation it shall be the duty of the board of county commissioners of such county to provide in lieu of the portion of such highway, so designated, a highway for herds and flocks of cattle, horses and sheep which shall be reasonably safe and convenient for that purpose and shall be a reasonably convenient way of access to the same place that would otherwise be reached by the portions of the road or highway designated as not a highway for cattle, horses or sheep as aforesaid.
W.S. 24-1-122