Rajdhani Express train of length 108 m is running at the speed of 128 km/h. Another train of length 148 m is standing at the station. In what time will the Rajdhani Express cross the other train?

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 3)
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  1. 8 seconds
  2. 7.5 seconds
  3. 9 seconds
  4. 7.2 seconds

Answer (Detailed Solution Below)

Option 4 : 7.2 seconds
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Detailed Solution

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Given:

Rajdhani Express train of length 108 m is running at the speed of 128 km/h.

Another train of length 148 m is standing at the station

Concept used:

Distance = speed × time 

Calculation: 

Total distance is , 108 + 148 = 256 m

⇒ Speed = 128 km/h = 128 × 5/18 m/s = 320/9 m/s

So, time = distance /speed

⇒ 256/ (320/9) = (256 × 9)/320 = 7.2 sec

∴ The correct option is 4

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