Answer
$85\,m$
Work Step by Step
$f_{beat}=|f_{1}-f_{2}|=\Delta f=|498\,Hz-502\,Hz|=4\,Hz$
$T_{beat}=\frac{1}{\Delta f}=\frac{1}{4\,Hz}=0.25\,s$
$\Delta x=v T_{beat}=(340\,m/s)(0.25\,s)=85\,m$
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