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Question

What is the speed of the bullet train?

I. The train crosses a lamp post in 26 seconds.

II. The train crosses a platform of length 500 metres in 54 seconds.

III. The train crosses another train running in the same direction in 64 seconds.


  1. II and III only

  2. Any two of the three

  3. None of these

  4. I and II only

  5. I and III only


Solution

The correct option is D

I and II only


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

Time taken to cross a lamp post =Length of the trainSpeed of the train

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

I gives,26=lxl=26x II gives,54=l+500x26x+500x=54x=1257m/sec.

Thus I and II give the speed of the train.

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