Time taken by a train 70 metres long to cross a bridge of length 105 metres with a speed of 75 kmph is

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West Bengal Group C 2016 Official Paper (Held On: 05 Mar, 2017) PYP
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  1.  sec
  2.  sec
  3.  sec
  4.  sec

Answer (Detailed Solution Below)

Option 2 :  sec
Free
CT 1: Ancient History (Prehistoric to Gupta Age)
10 Qs. 10 Marks 6 Mins

Detailed Solution

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Given:

Length of train (Ltrain) = 70 metres

Length of bridge (Lbridge) = 105 metres

Speed of train (S) = 75 kmph

Formula used:

Total Distance (D) = Length of train + Length of bridge

Time (T) =

Calculations:

⇒ S = 75 kmph = 75 × m/s

⇒ S = m/s (dividing 75 and 18 by 3)

⇒ S = m/s

⇒ Total Distance = Ltrain + Lbridge

⇒ Total Distance = 70 m + 105 m = 175 m

⇒ Time =

⇒ Time =

⇒ Time =

⇒ Time =

⇒ Time = seconds =  sec

∴ The time taken by the train to cross the bridge is seconds.

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