The Comptroller shall draw his order on the Treasurer for a transportation allowance for each member or member-elect of the General Assembly, and the Treasurer shall pay to such member as an allowance for transportation, such rate per mile as shall from time to time be determined by the Joint Committee on Legislative Management. The allowance shall be paid for each mile on each day that such member is required to travel: (1) From his home to the State Capitol and return therefrom to attend a session of the General Assembly or a meeting of a committee of the General Assembly or a public hearing held by any such committee or for other official legislative business, or (2) from his home to such other location within the state at which any such committee meeting or public hearing is held and return therefrom.