(a) The superintendents shall have power to select and engage all employees of the schools at salaries fixed by the board of trustees, reporting the same for approval to the board at the next regular meeting thereof.
(b) The superintendents shall have the sole power to remove employees of the respective schools and may remove any employee at any time in their discretion for cause, but, in case of removal, the superintendent shall report the removal and the ground therefor to the board of trustees.