A 100 metre long train moving in a uniform speed of 20 m/sec crosses a bridge of length 1 km . The time taken by the train to cross the bridge is

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Assam ADRE SLRC 2022 Paper IV
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  1. 45 seconds
  2. 50 seconds
  3. 55 seconds
  4. 60 seconds

Answer (Detailed Solution Below)

Option 3 : 55 seconds
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SS History: Ancient Indian History/প্ৰাচীন ভাৰতীয় ইতিহাস
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Detailed Solution

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Given:

Length of train (Ltrain) = 100 m

Speed of train (v) = 20 m/sec

Length of bridge (Lbridge) = 1 km = 1000 m

Formula used:

Total distance to be covered = Ltrain + Lbridge

Time taken (t) = Total distance ÷ Speed

Calculations:

Total distance = Ltrain + Lbridge

⇒ Total distance = 100 + 1000 = 1100 m

Time taken (t) = Total distance ÷ Speed

⇒ t = 1100 ÷ 20 = 55 seconds

∴ The correct answer is option (3).

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