Two trains of lengths 310 m and 330 m, respectively, are 160 m apart. They start moving towards each other on parallel tracks, at speeds 130 km/h and 158 km/h, respectively. In how much time (in seconds) will the trains cross each other?

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Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 02 Jul, 2024 Shift 4)

Answer 1

Given:

Length of Train 1 = 310 m

Length of Train 2 = 330 m

Distance between trains = 160 m

Speed of Train 1 = 130 km/h

Speed of Train 2 = 158 km/h

Formula Used:

Relative Speed when two objects move towards each other = Speed of Train 1 + Speed of Train 2

Time = Total distance / Relative Speed

Calculation:

Convert speeds from km/h to m/s:

Speed of Train 1 in m/s = 130 × (1000/3600)

Speed of Train 1 in m/s = 130 × (5/18)

Speed of Train 1 in m/s = 36.11 m/s

Speed of Train 2 in m/s = 158 × (1000/3600)

Speed of Train 2 in m/s = 158 × (5/18)

Speed of Train 2 in m/s = 43.89 m/s

Relative Speed = 36.11 + 43.89

Relative Speed = 80 m/s

Total distance to be covered = Length of Train 1 + Length of Train 2 + Distance between trains

Total distance = 310 + 330 + 160

Total distance = 800 m

Time = Total distance / Relative Speed

Time = 800 / 80

⇒ Time = 10 seconds

The correct answer is option 4.

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