Two trains, one of length 185 m and the other of length 175 m, are running in opposite directions on parallel tracks, the speeds of the first and second are 80 km/h and 64 km/h respectively. How much time will they take to cross each other?

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SSC GD Constable (2022) Official Paper (Held On : 02 Feb 2023 Shift 2)
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  1. 7 Seconds
  2. 9 Seconds
  3. 9.5 Seconds
  4. Seconds

Answer (Detailed Solution Below)

Option 2 : 9 Seconds
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Detailed Solution

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Given:

Lengths of two trains = 185 m and 175 m

Speeds of two trains = 80 km/h and 64 km/h

Formulas used:

Relative speed (Opposite direction) = Speed1 + Speed2 

Time = Distance/Relative Speed 

Calculation:

Distance to be covered by two trains = Length of two trains 

⇒ 185 m + 175 m = 360 m 

⇒  360/ 144× 5/18 

⇒ 360/40            [1 hour = 3600 seconds, 1 km = 1000 m] 

⇒ 9 

∴ The required time taken by the trains to cross each other is 9 seconds.

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