ETOPS Extended Twin engine OPerationS :
If an engine failure occur during cruise forcing an engine shutdown, fly a descend profile on the remaining engine to FL160 (16,000ft) & hold speed between 300 - 420kts. Do not forget to trim to compensate for your lost engine. The B767 can fly the remaining trip on one engine & land @ MLW or lower.
The Boeing 767 is fitted with engines certified ETOPS for 120 (200ER) & 180 minutes (300ER/400ER). This is very essential if you fly long routes over water i.e. LAX-Honolulu.
If both engines go out on you then apply EROPS rule ' Engines Refuse to Operate, Please Swim'