The chair and vice chair of each House of Representatives standing committee which composes a House interim committee shall serve as chair and vice chair of the House interim committee, and the chair and vice chair of each Senate standing committee which composes a Senate interim committee shall serve as chair and vice chair of the Senate interim committee. If the House and Senate interim committees of comparable subject matter jurisdiction elect to meet jointly, the chair of the House committee and the chair of the Senate committee may alternately serve as chair of the interim committee in such manner as they agree.