Multiple choice

What is the speed of a train? Statement I: The train crosses a pole in 10 seconds. Statement II: The train crosses a 200 meter long platform in 20 seconds.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I: Train crosses a pole in 10 seconds. This means the train covers its own length in 10 seconds, so speed = length/10. But we don't know length. Statement II: Train crosses 200m platform in 20 seconds, meaning train covers (length + 200) in 20 seconds. Combining both: length/10 = (length + 200)/20, solving gives length = 200m, then speed = 200/10 = 20 m/s. Both statements needed.