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Question

# The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option: What is the speed of the train whose length is 105 metres? I. The train crosses a goods train of 150 metres length running in opposite direction in 5 seconds. II. The train crosses the same goods train running in the same direction at the speed of 30 km/hr in 15 seconds.

A

if 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.

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B

if 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.

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C

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

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D

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

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E

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

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Solution

## The correct option is E if the data in both Statements I and II together are necessary to answer the question. Time taken to cross the train, running in opposite directions =(l1+l2)(u+v)sec. ⇒5=(105+150)(u+v)⇒u+v=25.5 Time taken to cross the train, running in same direction =(l1+l2)(u−v)sec.⇒15=(105+150)(u−30×518)⇒u=(763)m/sec Thus, u and v can be obtained.

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