A train is running at a speed of 129 km/h on a straight railway track, and a small car on a parallel road is running at a speed of 60 km/h. How long (in seconds, rounded off to the nearest integer) will the train take to cross the car completely if the train is 943 m long and they are running in the same direction?

Ignore the length of the car as compared to the length of the train.

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SSC GD Constable (2022) Official Paper (Held On : 12 Jan 2023 Shift 1)
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  1. 49
  2. 59
  3. 39
  4. 29

Answer (Detailed Solution Below)

Option 1 : 49
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Detailed Solution

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Given

Train speed = 129 km/h

Car speed = 60 km/h

Train length = 943 m

Concept:

Time is taken to cross = Distance / Relative Speed

Calculation:

Relative Speed = Train Speed - Car Speed = 129 km/h - 60 km/h = 69 km/h = 69 × (1000/3600) m/s

Time = Train Length/Relative Speed = 943/19.17 ≈ 49 seconds

Therefore, the train will take approximately 49 seconds to completely cross the car.

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