Runs for 45 minutes and wants to die

I have a celica 94 st204 that runs perfectly until it gets hot it then starts jerking and then stops and I am unable to restart it until it cools down for 15 minutes then it runs great again .

Sounds like a bad coil. But a sensor like a module or an aging distributor cap and rotor are the most suspect. Take off the distributor cap and see if a white powdery substance is building up scrape it clean with a sharp knife... it may run for a few months best to replace the rotor and distributor cap

SOUNDS LIKE THE FUEL PUMP MAY BE WEAK

Great!

have the ignition module tested, that can cause what you are describing

It sounds like your ignition coil is overheating. Once it cools down it will fire properly until it gets hot again. Replace the ignition coil and you should be all set.

A good pump and a bad one look identical; problem with the bad one is that after running for a while, it gets hat, begins to bind and then stops. Once cooled down, it will repeat the process. Even when pressure testing, it may "seem" fine but not be., 'till it gets bad enough to show up during testing. Your crank position sensor can act the same way, so can an ignition coil. (internal expansion during heating shows internal shorting.) When in "no start" check for spark. This should separate fuel problem from ignition related stuff. Then, go from there. Do real testing...guessing and replacing parts can cost you a fortune.

replace the crankshaft position sensor.

Sounds like water in fuel tank. Try putting some gasline antifreeze in, (maybe a couple of bottles) will clear up water and problem if that's it.

might check the crank sensor. it is located on the transmission bellhousing on top just off to the drivers side. if the pcm loses this signal the vehicle will die immediately and not restart until it sees the signal again