always faster

Ok since 2 days now my car begin to give me some small starting trouble at normal temprature range.

-Start the car this morning to go work(cold engine) = start number 1

-Start the car tonight to come back home(cold engine)=start number 1

-Stop to put some gas, start the car(hot engine)= run 3 sec and die, restart , same thing 3 sec and die.Restart again run at 300-400rpm for a sec and back to normal 750-800rpm

-Drive back and stop to cash my paycheck(hot engine)start the car=run 3 sec and die,Restart again run at 300-400rpm for a sec and back to normal 750-800rpm

The car run perfect on the road, veru strong, perfect idle, no smells, i can hear the pump pressurize itself when i put the key at on,engine temperature is also perfect and no leak at all.

So whats the problem

Thanks

always faster

Nobody never had this problem?