Two trains P and Q of lengths 320 m and 540 m, respectively, are running in the same direction on parallel tracks at 108 km/h and 144 km/h, respectively. How much time will the trains take to cross each other completely? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. 86 s
  2. 54 s
  3. 32 s
  4. 68 s

Answer (Detailed Solution Below)

Option 1 : 86 s
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Detailed Solution

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Given:

Length of 1st train (T1) = 320 m

Length of 1st train (T2) = 540 m

Speed of 1st train (S1) = 108 km/h

Speed of 1st train (S2) = 144 km/h

Formula used:

Distance = relative speed × time

Calculation:

Distance = relative speed × time

⇒ (T1 + T2) = (S2 - S1) × (5/18) × time

⇒ (320 + 540) = (144 - 108) × (5/18) × time

⇒ 860 = 36 × (5/18) × time

⇒ Time = 860/10 = 86 sec.

∴ The correct answer is 86 sec.

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