Explanation:

- Determine relative speed: The faster train is moving at 88 km/h and the slower at 34 km/h. Since they’re in the same direction, subtract their speeds: \(88 - 34 = 54 \text{ km/h}\).

- Convert speed: Convert the relative speed from km/h to m/s by multiplying by \(\frac{5}{18}\): \(54 \times \frac{5}{18} = 15 \text{ m/s}\).

- Time to cross: The trains take 30 seconds to cross each other. Total distance covered = relative speed \(\times\) time = \(15 \text{ m/s} \times 30 \text{ s} = 450 \text{ m}\).

- Total length of both trains: The total length is the sum of both trains: \(248 \text{ m} + x \text{ m} = 450 \text{ m}\).

- Calculate \(x\): Solve for \(x\): \(x = 450 - 248 = 202 \text{ m}\).

- Conclusion: The answer is \(\text{Option 3: 202}\).

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