Find the length of Train A Statement I Train A of length x 50 m can cross a man moving at the speed ...........

Quantitative Aptitude (SBI-PO) Data Sufficiency

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

Find the length of Train A.

Statement I: Train A of length (x + 50) m can cross a man moving at the speed of 5 m/s in the opposite direction of that of train A in 10 seconds. It can cross the same man in 15 seconds if he is moving in the same direction.

Statement II: Train A of length (x + 50) m can cross another train B of length (x + 150) m moving in the opposite direction at a speed of 10 m/s in 20 seconds. It can cross train B in 28 seconds if train B is standing on the platform.

The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

The data either in Statement I or in Statement II alone are sufficient to answer the question.

The data in both Statements I and II together are necessary to answer the question.

The data even in both Statements I and II together are not sufficient to answer the question.

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Explanation:

Statement I:
Let, s be the speed of Train A
According to the question,

So,
Therefore, length of Train A = 300 m
So, statement I alone is sufficient to answer the question.
Statement II:
Let, s be the speed of Train A
According to the question,

Therefore, length of Train A =
So, statement II alone is sufficient to answer the question.
Thus, the data either in Statement I or in Statement II alone are sufficient to answer the question.
So option (c) is the correct answer.