Possible fuel pump problem?

[VegasKyle]

So I was driving home today and my car just cut out while driving, all the electrical was working fine but the car wouldn't respond to the gas pedal, then it surged back to life and kept going only to do the same thin a few min later.  I pulled over and shut the car off.  I could turn the car back on but it wouldn't run for vary long and i could hear a whirling sound from the fuel pump.  I removed the back seat and panel that coves the fuel pump. I can start the car and it will idle fine for 10-30 seconds then the fuel pump will start whirling and it will immediately die.  I'm obviously getting spark, I pulled out the air filter and it wasn't clogged or anything so that leaves fuel.  The only other thing worth mentioning is I just filled the tank about 25mi ago but it was from Chevron so I doubt it was bad gas. I don't get a strong fuel oder from under the hood either.

Does it sound like it's the fuel pump? Is there any way to check? Could it be a clogged filter or the like?  

Any help is greatly appreciated.

[VegasKyle]

Slight update...

I just got to the car to change out the fuel filter and see if that did the trick.  I started up the car and it ran.... and ran and ran.  I let it idle for about 5min and decided fuck it I'm only 5-10mi from home.  I drove it home with no problem.  The only difference is now its night time and only 90* or so where as earlier it was 107* and by far the hottest weather I've ever driven the car in.  Could the heat have had anything to do with it?  If so how?

Edit: The car showed no signs of overheating. The dial was dead center where it always is and the engine bay didn't seem excessively hot.