How do the engines of a multi-engine airplane shut down after fuel starvation? If a multi-engine aircraft runs out of fuel, can the engines flame out at different times due to fuel inequality between the tanks, or do they both die at the same time because fuel is constantly balanced?
On multi-engine aircraft the engine on one side is normally fed by the respective tank, so the left engine(s) is fed by the left tank etc... it is possible to cross-feed to allow access to all the fuel in the event of an engine failure.

In order for a simultaneous run down to occur - both tanks would have to have precisely the same amount of fuel loaded and both engines would have to burn fuel at exactly the same rate, which is unlikely.