When two trains move toward each other, the relative speed at which they close the gap is the sum of their individual speeds: \(71+55=126\) km/h, which converts to \(126 \times \dfrac{5}{18} = 35\) m/s.
For the trains to fully clear each other after meeting, the combined length of both trains needs to pass at that relative speed: \(184+270=454\) m.
Time taken is \(454/35 \approx 13\) seconds, matching option 3.