Where in any premises which are subject to inspection by or under the authority of any Government department any manual labour is exercised, otherwise than for the purposes of instruction, in or incidental to the making, altering, repairing, ornamenting, finishing, washing, cleaning, or adapting for sale, of any article, and the premises do not constitute a factory, the Secretary of State may arrange with the department that the premises shall, as respects the matters dealt with by this Act, be inspected by an inspector appointed under this Act, and where such an arrangement is made, such inspectors shall have, as respects such matters as aforesaid, the like right of entry and inspection as is conferred on inspectors or other officers of the department concerned.