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The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

Difficulty: Easy

Correct Answer: 245 m

Explanation:

Given Data

  • Train length = 130 m
  • Train speed = 45 km/hr
  • Time to cross the bridge = 30 s
  • Required: bridge length

Step 1: Convert speed to m/s
45 km/hr = 45 × (5/18) = 12.5 m/s


Step 2: Total distance covered while crossing the bridge
Distance = speed × time = 12.5 × 30 = 375 mDistance = train length + bridge length ⇒ 375 = 130 + LL = 375 − 130 = 245 m


Checks & Common Pitfalls

  • Add train and bridge lengths for complete crossing.
  • Use km/hr → m/s conversion × 5/18.

Final Answer
The bridge length is 245 m.

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