Shortround6
Major General
This may, or may not, depend on the model and the conditions. In the China/Burma/India theater a few of them made it back to base flying over 600 miles on one engine. However flak, and even enemy aircraft were scarce to nonexistent on the return trip so they didn't have to beat up on the remaining engine. Coming back over 300-400 miles in Europe may be different due to the higher desirable cruise speed to get home. A balancing act between speed and blowing up the second engine.One trait of the Thunderbolt that can't be overlooked is its toughness. It could take a beating. Even though the Lightning had two engines, it had problems with single engine performance due to the remaining engine overheating.
It may also depend on flying technique. Way, way too many pilots were taught the wrong way to cruise the P-38 by army instructors in direct contradiction to both Allison's and Lockheed's instructions/recommendations. Army was teaching high rpm and low boost for far too long.