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In brief: Naproxen. In a patient with normal kidney and liver function, Naproxen would normally be completely out of the body within 5 - 7 days. In brief: Naproxen. In a patient with normal kidney and liver function, Naproxen would normally be completely out of the body within 5 - 7 days.  In brief: Naproxen.
This suggests that systemic elimination of acetaminophen could take up to 22 hours. Of all potential DayQuil ingredients, Guaifenesin has the shortest elimination half-life of ~1 hour, meaning it will be out of your system in less than 6 hours post-ingestion.