2000 Quest fuel pump operation?

When I turn the key on, the fuel pump runs for about 5 secs then shuts off. Is this normal?
I'm trying to troubleshoot a starting/running problem with my Quest. It'll sometimes start, idle smoothly for a minute or 2, die, then won't start. Seems to be fuel starved. I changed the fuel filter out, it was dirty, but this didn't seem to help.
I don't think the injectors are plugged because when it does idle, it idles smoothly.
Is there a valve that controls fuel to all the injectors that might be sticking or be intermittent that I can check?
The fuel pump seems to put out good pressure when it runs for the 5 secs (I pulled the line and checked this).
Just wondering if this 5 sec run is normal, and if anyone has ideas as to why it won't stay running.

Re: 2000 Fuel pump operation
Are there any "check engine" lights on?
2004 Quest S
about your prob
well i just had the same prob with my fulepump the 5 sec gush is only your prime to build presure for starting but if it dont pump any more then that its your fule pump . was you fule pump getting to where you could here it get louder for a while . i would say it is your fule pump that is bad mine did the same thing .
Don't buy a new fuel pump
Don't buy a new fuel pump from Auto zone. A friend went through 4 before he went to the dealer for new one 400.00, not rebuilt.