A train 150 m long passes a telegraph pole on the platform in 9 seconds. How long will it take the same train traveling at the same speed to pass completely through a tunnel 450 m long?

Answer and explanation

Correct answer: B. 36 seconds

  1. Step 1: Calculate the train's speed passing the point pole: v = distance / time = 150 m / 9 s = 50/3 m/s.
  2. Step 2: To completely pass through a 450 m tunnel, the train must cover its own length plus the tunnel length:
  3. Step 3: Total distance = 150 m + 450 m = 600 m.
  4. Step 4: Calculate required time: t = 600 m / (50/3 m/s) = 600 (3 / 50) = 12 3 = 36 seconds.
Answer
36 seconds.
Why not the others: '27 seconds' only accounts for the 450 m tunnel length without the train's own length (450 / (50/3) = 27 s); '30 seconds' uses an incorrect speed approximation; '45 seconds' multiplies 9 by 5.

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