Yes a humming out back could be a fuel pump failing. I have gone through 2 in my 1993 Century - 150 k miles - They have to drain and drop the tank to repair
when the pump is going out it will make a humming noise from the bearings even if the resivore is full.
the most likely cause of that would be the power steering pump failing.
wheel bearings are going bad, need to change your hub assembly
A failing alternator with sticky or worn out brushes.
old fuel filter
The bearings on the blower are failing. You will need to replace the blower.
There are several reasons that can cause your 1995 Buick Century to quit running. The most common reason is a lack of fuel. A bad fuel pump can cause the engine to quit running.
i have a 1996 buick century just came back from mechanic head gasket is gone and there is anti freeze in my oil i guess if you had water in your rad then you would have water in your oil.
mabye the O2 sensors
A failing wheel bearing is a likely cause.
Certain types of tires may cause a brief humming noise after your initial acceleration. The transmission may also cause a brief humming noise.
1999 Mercury front and humming noises can because by several things. Tire noises are the most common cause. A tire that is not wearing properly can cause a humming noise.