A train crosses a pole in 10 seconds. If the length of the train is 100…

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A train crosses a pole in 10 seconds. If the length of the train is 100 meters, what is the speed of the train in km/hr?

  1. A.

    34

  2. B.

    36

  3. C.

    30

  4. D.

    32

Attempted by 1 students.

Show answer & explanation

Correct answer: B

Concept:

Speed = Distance ÷ Time. When a train crosses a stationary pole, the distance covered equals the train's own length. To convert speed from m/s to km/hr, multiply by 18/5 (i.e., 3.6); to convert km/hr to m/s, multiply by 5/18.

Application:

  1. Distance covered while crossing the pole = length of the train = 100 m; time taken = 10 s.

  2. Speed in m/s = Distance ÷ Time = 100 ÷ 10 = 10 m/s.

  3. Convert to km/hr: 10 m/s × 18/5 = 10 × 3.6 = 36 km/hr.

Cross-check:

Reverse check: 36 km/hr × 5/18 = 10 m/s; distance covered in 10 s at 10 m/s = 100 m, which matches the train's length — confirming the speed.

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