Two trains are moving in the opposite direction at the speed of 48 km/hr and 60 km/hr respectively. The time taken by the slower train to cross a man sitting in the faster train is 12 seconds. What is the length of the slower train? 

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 2)
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  1. 480 metres
  2. 720 metres
  3. 180 metres
  4. 360 metres

Answer (Detailed Solution Below)

Option 4 : 360 metres
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Detailed Solution

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Given:

Speed of train1 = 48 km/h

Speed of train2 = 60 km/h

Time taken to cross a man = 12 sec

Formula used:

Speed = Distance / Time

Calculation:

As the train is moving in the opposite direction,

⇒ Relative speed = Speed of train1 + speed of train2 = 48 + 60 = 108 km/h = 30 m/s

The length of train is the distance he travelled to cross the train

⇒ Speed = Distance / Time

⇒ 30 = Distance / 12

⇒ Distance = 30 × 12 = 360 m

⇒ Hence, Length of the slower train is 360 m

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