It is generally assumed that all displaced wh-elements have a syntactic dependency with a gap somewhere in the sentence. We propose that in coordinated wh-questions like "What and when did John eat?", only the right-conjoined wh-word ("when") participates in a standard wh-dependency. The left-conjoined wh-word ("what") is base-generated in its overt position and has no syntactic relationship with the verb. The dependency is established only at the semantic level. We present the results of two acceptability judgment studies which support our hypothesis, and discuss possible future studies on the real-time processing of these constructions.