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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.


  1. 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.

  2. 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.

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

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

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


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)(uv)sec.15=(105+150)(u30×518)u=(763)m/sec

Thus, u and v can be obtained.

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