Problems on Trains - Arithmetic Aptitude Questions and Answers

Home / Arithmetic Aptitude / Problems on Trains :: Discussion

What is the speed of the train?

I. The train crosses a tree in 13 seconds.

II.The train crosses a platform of length 250 metres in 27 seconds.

III. The train crosses another train running in the same direction in 32 seconds.

I and II only

II and III only

I and III only

Any two of the three

None of these

Answer : Option A

Explanation :

Let the speed of the train be x metres/sec.

Time taken to cross a tree = \(\frac { Length of the train } { Speed of the train } \)

Time taken to cross a platform = \(\frac { (Length of the train + Length of the Platform) } { Speed of the train } \)

I gives, 13 =		\(\frac { l } { X }\) 13x.

II gives 27 = \(\frac { l+250 } { X } \)

		\(\frac { 13X +250 } { X }\)= 27

x =		\(\frac { 125 } { 7 } \)m/sec.