If a train crosses a point in \(\frac{27}2\) sec, moving with a speed of 30 km/h, length train is

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WBSSC Group D Official Paper (Held On: 19 Feb, 2017)
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  1. 112.5 metre
  2. 140.5 metre
  3. 150 metre
  4. 132 metre

Answer (Detailed Solution Below)

Option 1 : 112.5 metre
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Detailed Solution

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Given:

Time to cross a point = 27/2 sec

Speed of the train = 30 km/h

Formula used:

Length of the train = Speed × Time

Calculation:

Speed = 30 × (5/18) = 25/3 m/s

⇒ Length of Train = Speed × Time

⇒ Length = (25/3) × (27/2)

⇒ Length = 112.5 meters

∴ The correct answer is option (1).

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