Finding speaker frequency from destructive interference distance and sound speed

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Homework Statement



A student enters Best Buy prepared to buy a pair of speakers. Before he does so, he conducts an experiment with them. He places the speakers 4.0 m apart and connects a signal generator to both speakers that produces a single and consistent tone. (constant wavelength and frequency) He then walks to a point that is 2.0 m from one speaker and 2.3 m from the other. At that point he notices a quiet “spot”. If the speed of the sound in the room is known to be 350 m/s, calculate the possible frequencies being played by the speakers.

Homework Equations





The Attempt at a Solution



I don't even know where to begin. I don't even know how to go from speed to frequency. Thanks for any and all help
 

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The path length difference produces destructive interference at the point where he stands. What does that tell you about the wavelength (and frequency)?