Multiple choice

What is the length of the platform? Statement I: A train crosses a man who is standing on the platform with the speed of 54 km/hr in 20 sec. Statement II: The same train crosses the platform in 26 sec.

  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

From Statement I, the train length = speed × time = 15 m/s × 20 s = 300 m (since 54 km/hr = 15 m/s). However, this only gives the train length, not the platform length. Statement II tells us that (train length + platform length) = 15 m/s × 26 s = 390 m. But without knowing the train length separately, we cannot isolate the platform length. Combining both statements: platform length = 390 - 300 = 90 m. Thus both statements together are necessary, neither alone is sufficient.

Keep practicing — related questions