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An express train moving at the rate of $80$ km per hour overtakes completely a good train twice as long and moving on a parallel line in the same direction at the rate of $40$ km per hour in $54$ seconds. How long will the express train take to completely pass through a station $4000$ meters in length?

1. $54$ seconds
2. $27$ seconds
3. $18$ seconds
4. None of these

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