In the literature, stochastic orders are used to compare the lifetimes of two coherent systems. We show that, under certain conditions, a coherent system made out of independent components, which have been used for some units of time, performs better (worse) than a used coherent system (i.e., a system is formed by some new independent components and then the system has been used for sometime) with respect to different stochastic orders. Some results on stochastic comparisons between a coherent system of inactive components and an inactive coherent system are also discussed. © 2016 IEEE.