This is about wanting to leave the town you are stuck in. You just want to leave and get away from everything being the same day after day. When you finally find someone to drive you (or you drive them), you just want them to be quiet in order to enjoy the moment of leaving. You can also interpret it as wanting to leave as a result of doing something bad, such as getting a girl pregnant or using drugs. You just want to get away from your problems, but it has to be quiet so you can think about what's going on in your life.
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