When any permanent county or municipal employee who has completed six months of satisfactory service is unable to resolve an alleged grievance by discussion and negotiation with his employer, he may request in writing a hearing before the grievance committee appointed and constituted as provided for in § 8-17-130. The request for a hearing shall be directed to the governing body of the county or municipality concerned or to such administrative official as may be designated by the governing body. Within ten days of receipt of the employee’s request, the governing body or its designated agency shall schedule the requested hearing and notify the grievance committee and the employee requesting the hearing.