1991 Dodge Daytona starts then stalls?

Theres alot of things that could be the problem.. first ...check the plugs and wires making sure they are at proper gap 0.35...and making sure the wires are pushed all the way down into the cap ,next replace the fuel filter because they don"t last forever ,if the problem is still there.. check the coil.. sometimes they could lose fluid giving them a weird spark, timing could be a problem as well or another weird twist the alternator

could have died to check that just disconnect the pos battery terminal while the engine is running if the car shuts off theres your answer

hope this helps