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From the time the front of a train enters a platform, it takes $25$ seconds for the back of the train to leave the platform, while traveling at a constant speed of $54$ km/h. At the same speed, it takes $14$ seconds to pass a man running at $9$ km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?

  1. $210$ and $140$
  2. $162.5$ and $187.5$
  3. $245$ and $130$
  4. $175$ and $200$
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