We don't have synonyms for rat races yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are rat race, rat-race and retraces.
(n) :
(informal) An activity or situation which is congested with participants and which is hectic or tedious, especially in the context of a busy, modern urban lifestyle.
(n) :
(by extension) The busy, modern urban lifestyle itself, especially when seen as a competition for wealth or power.
(n) :
(politics, business, finance) Inconsiderate or unfair competition, where the competitors are willing to use any means to win.
(n) :
(informal) An activity or situation which is congested with participants and which is hectic or tedious, especially in the context of a busy, modern urban lifestyle.
(n) :
(by extension) The busy, modern urban lifestyle itself, especially when seen as a competition for wealth or power.
(n) :
(politics, business, finance) Inconsiderate or unfair competition, where the competitors are willing to use any means to win.