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Find the ratio of the speeds of Train A and Train B. Statement I: If the length of Train A is 100 m and it crosses a platform double its length in 10 s, and Train B crosses the same platform in 20 s. Statement II: The sum of the speeds of Train A and Train B is 200 m/s, and the difference between the speeds of Train A and Train B is 50 m/s, with the speed of A greater than B.

1. The statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
2. The statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
3. Both the statements I and II together are needed to answer the question.
4. Either statement I alone or statement II alone is sufficient to answer the question.

Correct answer: The statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.

Solution

Statement II gives the sum and difference of the two speeds, so the individual speeds can be found uniquely and hence their ratio can be determined. Statement I does not give enough information to determine both speeds uniquely because the crossing times alone do not fix the exact speeds without additional details.

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