Why does car crank, start, run for awhile then turn off?

Already answered.

run fault codes and check for faulty can/crank position sensors.

distributor or crank shaft pick up sensor

Get the crank sensor replaced. This will require removing the crank pulley-balancer to replace the sensor.

hey, ive got the exact same prob. what was your fix?

Your battery is dead. Try jump starting and run the car for about 20 minutes (going for a drive would be best). Turn the lights on - if they dim over time or the car sputters after awhile, your alternator is the actual problem (the device that charges your battery). If the car runs well for the 20 mins but won't start again (clicking), then you'll need to replace the battery.

I HAD SAME PROBLEM, ENDED BEING CRANK SENSOR GETTING WEAK, AFTER HOT THE CRANKING SIGNAL IS TO WEAK TO TRIGGER FIRING.

Crank sensor. Next time it shuts off pour or spray some water on it then see if it will crank. If it does replace it.

You're getting a condition known as "vapor lock" or hydrostatic lock. This happens when you run your fule lines too close to a heat source (exhaust, engine, etc). You can solve it by re-routing it away from those heat sopurces...this should help.