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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 passenger train?
I. The train crosses a signal pole in 27 seconds.
II. The train crosses a platform of equal length in 54 seconds.
III. Length of the train is 495 metres.


  1. I and II only

  2. III and either I or II only

  3. II and III only

  4. I and III only

  5. Any two of the three


Solution

The correct option is B

III and either I or II only


Let the speed of the train be 'x' m/sec.

Time taken to cross a signal pole =Length of trainSpeed of train

Time taken to cross a platform =(Length of train+Length of platform)Speed of the train

Length of train = 495 m

I and III give,27=495xx=49527m/s=553m/s.II and III give,54=2×495xx=99054m/s=553m/s.

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