
Shortcut Trick
Speed of the goods train = 72 × (5 ÷ 18) = 20 m/s
Total distance covered in 26 seconds = 20 × 26 = 520 m
Length of goods train = Total distance − Length of platform
Length of goods train = 520 − 250 = 270 m
∴ The correct answer is 270 m.

Alternate Method
Given:
Speed of the goods train = 72 km/h
Length of the platform = 250 m
Time taken to cross the platform = 26 seconds
Formula Used:
Speed = Distance ÷ Time
Total Distance = Length of train + Length of platform
Speed in m/s = Speed in km/h × (5 ÷ 18)

Calculations:
⇒ Speed of train in m/s = 72 × (5 ÷ 18) = 20 m/s
⇒ Let the length of the goods train be L meters.
⇒ Total distance covered to fully cross the platform = L + 250
⇒ Time taken = Total distance ÷ Speed
⇒ 26 = (L + 250) ÷ 20
⇒ L + 250 = 26 × 20
⇒ L + 250 = 520
⇒ L = 520 − 250
⇒ L = 270 m
∴ The correct answer is 270 m.

Additional Information
Unit Conversions for Speed
To convert km/h to m/s, directly multiply the given speed by 5 ÷ 18. Conversely, to convert m/s to km/h, multiply the speed by 18 ÷ 5.
Crossing a Platform or Bridge
When a train crosses a stationary object that has considerable length (such as a platform, bridge, or tunnel), the total distance covered by the train equals the sum of its own length and the object's length.
Crossing a Point Object
If a train crosses a stationary object with negligible length (like a signal pole or a standing man), the total distance covered is exactly equal to the length of the train alone.
Relative Speed of Trains
When two bodies are moving in opposite directions, their relative speed is calculated as the sum of their individual speeds (V1 + V2). When moving in the same direction, the relative speed is the difference (V1 − V2).