Two trains 195 m and 181 m long respectively are moving towards each other. Their speeds are 19 m/s and 28 m/s respectively. How much time will the trains take to cross each other?

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CRPF Constable Technical Tradesman Official Paper (Held On: 01 July, 2023 Shift 2)
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  1. 11 seconds
  2. 10 seconds
  3. 12 seconds
  4. 8 seconds

Answer (Detailed Solution Below)

Option 4 : 8 seconds
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Detailed Solution

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Given:

Length of Train 1 = 195 m

Length of Train 2 = 181 m

Speed of Train 1 = 19 m/s

Speed of Train 2 = 28 m/s

Formula Used:

Relative Speed = Speed of Train 1 + Speed of Train 2 (since they are moving towards each other)

Time = Total Distance / Relative Speed

Calculations

Total Distance = Length of Train 1 + Length of Train 2

Total Distance = 195 m + 181 m = 376 m

Relative Speed = 19 m/s + 28 m/s = 47 m/s

Time = Total Distance / Relative Speed

Time = 376 m / 47 m/s

Time = 8 seconds

∴ The trains will take 8 seconds to cross each other

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