We have been discussing Adjectives and Adverbs quite a bit in class. Recently, we wondered whether it is okay to use "quicker" as an adverb. i.e. "Joe ran quicker than Bill."
The following link provides several excellent guidelines about adjectives and adverbs. Rule #6 applies directly to our discussion, indicating that it is NOT okay to use "quicker" as an adverb.
http://www.grammarbook.com/grammar/adjAdv.asp