1. Vapor lock: This occurs when the fuel in the fuel line vaporizes and creates a vapor lock, preventing fuel from reaching the engine. This can happen when the engine is hot and the fuel line is exposed to heat from the engine or exhaust.
2. Fuel pump failure: The fuel pump may be failing and unable to deliver enough fuel to the engine when it is hot.
3. Electrical problem: A faulty sensor or electrical connection may be causing the engine to shut off when it gets hot.
4. Coolant leak: A coolant leak can cause the engine to overheat, which can lead to the engine shutting off.
5. Head gasket failure: A blown head gasket can cause the engine to overheat and lose compression, which can lead to the engine shutting off.
If you are experiencing this issue, it is important to have the car diagnosed by a qualified mechanic to determine the cause and have it repaired.