delivering gas to the engine

What is your question?

this case happens always at high temprature days while the guage of tepmrature is in the normal temprature . so after driving half an hour or so the car is not accelerated and no gas reaches the engine so it turns of and when restarted everything in back normal again the a minute later it happens again. yout kindley requested to give me a clue about this problem and its cause and how to reapire it , thanks