A new virtual age repair model with non-uniform aging speed is presented on the basis of Kijima classical virtual age repair models which can be viewed as of uniform aging nature. In this model are included three types, of perfect, of imperfect and of minimal, all having a non-uniform aging speed. Formulas of expected count of repair and length of working time of these three models are derived, and numerical examples are also given to illustrate and verify obtained theoretical indices. As an extended work, a sketchy model of maintenance time of the non-uniform aging virtual age repair model is discussed. Overall, the three models discussed in the paper, each with non-uniform aging speed, are expansions to existing virtual age repair models, relevant formulas given here are new results, and the systems introduced are without the lifetime distribution assumption, all of which may be expected to improve maintenance work.