10. An office has two copying machines Machine X can reduce the size of a page and produces copies, in either the reduced or original size, at the rate of 1 page per second. Machine Y cannot reduce pages and produces copies at the rate of 1 page every 2 seconds. What is the least amount of time required for the two machines together to make 60 copies of a 120 page document if exactly half of the pages of each copy of the report must be reduced?