The word endure combines the prefix "en" (which means to enter a given state) and "dure" (which means to harden).  In other words to endure means to enter a hardship or a hard place.
To enjoy means (obviously) to enter a joyful or happy state.
Consider this... on every occasion we are in a position to enjoy or to endure.  To do neither, is to simply exist.  Life is a constant swirl- sometimes fast, sometimes slow- in which we enjoy or endure.  People of faith often state that "God never puts more on us than we ca bear."  The strength to endure and still smile is a wonder.