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Question

What is the speed of a bullet train A? I. The relative speed of train A and another train B running in opposite direction is 120 kmph. II. The train B crosses a signal post in 6.75 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 D if the data even in both Statements I and II together are not sufficient to answer the question. Let the two trains of length x' metres and y' metres be moving in opposite directions at u' m/s and v' m/s. Then, Statement I gives, u + v = 120. Statement II gives, v = y6.75 . From these equations, we cannot obtain `u'.

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