$A$ person observes two moving trains. Train $A$ is reaching the station and train $B$ is leaving the station, both with an equal speed of $30 \text{ m/s}$. If both trains emit sounds with a frequency of $300 \text{ Hz}$, and the speed of sound is $330 \text{ m/s}$, what is the difference in the frequencies heard by the person (in $\text{ Hz}$)?

  • A
    $10$
  • B
    $33$
  • C
    $55$
  • D
    $80$

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