Sound of an incoming automobile

Classical Mechanics Level pending

Two trains separated by \(2\text{ km} \), travel with the same speed of \(v = 90\text{ km/h} \) on the same straight track. A man sits at a point \(A\), located at a distnace of \(1\text{ km} \) from the track. At the time when the trains are equidistant from point \(A\), they simultaneously emit a sound signal of the same frequency \(f_0 = 500 \text{ Hz} \).

Which of the following is the best approximation for the beat frequency hear by the man at \(A\).

Take the speed of the sound as \(c = 350\text{ m/s} \).

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