Humming Noise from fuel tank on BMW 740iL

Average mileage: 103,666 (78,000–124,000)
3 model years affected: 1999, 2000, 2001
7 people reported this problem
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problem details
humming noise comming from fuel pump .changed pump now sometimes humm sometimes dont
Not only when I started the car did I heard a humming noise coming from the gas tank, it happened fairly often while driving - more during accelerating. Had the fuel pump changed, stopped most of the humming noise but still get a much lower level humming noise off & on quite often - What did I need to do now?
2000 BMW 740iL 124,000 mi,
There was a weird humming or whining noise for a while and the car wasn't running very well one day and it died and then would not start. I had the fuel pump and filter replaced for $600 and now there is no more noise and it is running again.