Ross eventually leaves them to enjoy the trip while he heads back alone, though he has a brief moment of connection with Carol upon his return.
: Rachel invites Monica, Phoebe, Joey, and Chandler on a ski trip to her fashion-executive friend's cabin. [S3E17] The One Without The Ski Trip
Ross drives out in Carol's car to save them, but the tension between him and Rachel remains high. Ross eventually leaves them to enjoy the trip