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Aptitude basics for Solving Problems on Trains:

The Questions will involve one train or two trains; therefore read the question whether the question involves one train or two trains, because you can decide what formula to use and solve quickly. The entire aptitude question on trains will contain any of these 5 questions. Note that sometimes trains are replaced by some other thing like person, man, car … etc

Single Train Questions (2 Types of questions)

Question 1:

What is the time taken by a train of length ‘L’ metres and travelling at a speed of ‘S’ to pass a pole or a standing man or a signal post or some stationary object?

Explanation

  • The Question will contain length of the train ‘L’
  • Train’s speed ‘S’ will be given in terms of either km/hr or m/sec.

If speed is given in terms of Km/hr, always remember to convert  it to m/sec which can be done               by this formula: =S x (5/18) m/sec

  • You have to find the time taken by the train to pass the stationary object. Use this formula

             Time taken to pass the object= L/S sec

Question 2

What is the time taken by a train of length ‘L’ metres and travelling at speed of ‘S’ to pass a pole or a standing man or a signal post or some stationary object of Length ‘M’?

Explanation

  • The Question will contain length of the train ‘L’
  • Length of the object ‘M’
  • Train’s speed ‘S’ will be given in terms of either km/hr or m/sec.

If the speed is given in terms of Km/hr, always remember to convert it to m/sec which is done                  by this formula: =S x (5/18) m/sec

  • You have to find the time taken by the train to pass the object of length ‘M’. Follow this procedure

               1. You know this: Time taken to pass the object= L/S sec

               2. Make changes to the above formula in this way…

                   Time taken to pass the object of length ‘M’ = (L+M)/S sec

Two Train Questions (3 Types)

Question 3:

What is the taken by the two trains that are of length ‘a’ and ‘b’ respectively and travelling opposite to each other at a speed of ‘u’ and ‘v’ respectively to cross each other?

Explanation

  • The Question will contain two trains and its lengths as; ‘a’ of the first train and ‘b’ of the second train.
  • The speed of the trains will also be included  as ‘u’ as speed of the first train and ‘v’ as the speed of the second train

If the speed is given in terms of Km/hr, always remember to convert it to m/sec which is done by             this formula

For train 1:      =u x (5/18) m/sec an

For train 2:     = v x (5/18) m/sec

Or

= (u+v) x (5/18) m/sec

  • Now you have find out the time taken by the trains to cross each other; use this formula

= (a+b)/ (u+v)

u+v is called as relative speed of trains travelling in opposite direction

Question 4

What is the taken by the two trains that are of length ‘a’ and ‘b’ respectively and travelling in the same direction or parallel to each other at a speed of ‘u’ and ‘v’ respectively to cross each other?

Explanation

  • The Question will contain two trains and its lengths as: ‘a’ of the first train and ‘b’ of the second train.
  • The speed of the trains will also be included  as ‘u’ as speed of the first train and ‘v’ as the speed of the second train

           If the speed is given in terms of Km/hr, always remember to convert it to m/sec which is done by             this formula

            For train 1: =u x (5/18) m/sec and

            For train 2: = v x (5/18) m/sec

           Or

           = (u+v) x (5/18) m/sec

  • Now you have find out the time taken by the trains to cross each other; use this formula

            = (a+b)/ (u-v)

            u-v is called as relative speed of trains travelling in opposite direction

Question 5

What is the time taken by the two trains that start at their points: A for the first train and B for the second train that travels at a speed of ‘u’ and ‘v’ respectively to reach their destination after crossing each other?

Explanation

  • The Question will contain two trains and its’ Speed as: ‘u’ of the first train and ‘v’ of the second train.
  • You have to find out the time taken by the trains to reach their destination after crossing each other. Use this formula

           (√v: √u)

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15 Comments (+add yours?)

  1. Vaishnavi
    Aug 13, 2012 @ 20:01:26

    it is the same as in R.S.Agarwal’s book… not of much use…
    expecting more… but this is also good… thank you 🙂

    Like

    Reply

  2. vishal
    Sep 02, 2012 @ 13:42:43

    please help with examples also

    Like

    Reply

  3. satyam
    Dec 17, 2012 @ 23:27:15

    very easy solution.thats gud

    Like

    Reply

  4. pooja lodhi
    Jun 19, 2013 @ 22:15:28

    excellent

    Like

    Reply

  5. priya
    Aug 09, 2013 @ 09:30:52

    easy explanation

    Like

    Reply

  6. rajesh
    Nov 07, 2013 @ 17:02:04

    better explanation still its confusing

    Like

    Reply

  7. Ram
    Nov 24, 2013 @ 13:24:16

    suberb

    Like

    Reply

  8. mansi singh
    Dec 04, 2013 @ 19:01:51

    easy way to learn

    Like

    Reply

  9. vinoth
    Apr 28, 2014 @ 15:37:45

    super solutions

    Like

    Reply

  10. sundar
    Jul 06, 2014 @ 13:41:07

    Its super and easy to learn.thanks to author

    Like

    Reply

  11. saanvi pritam
    Aug 13, 2014 @ 23:11:35

    thanx a ton

    Like

    Reply

  12. Saket Gorani
    Oct 15, 2014 @ 02:14:36

    I am good in apti. I cleared written of cognizant and L&T. But i failed to clear zensar written because of soooooo many train problems. I am sure i wont be facing any sort of problem in solving train questions from now on wards. THANKS A TON.

    Like

    Reply

  13. sindhuja
    Jun 25, 2015 @ 21:47:40

    very nice website it cleared my doubt thanks a lot for your website

    Liked by 1 person

    Reply

  14. Sriya
    Dec 04, 2016 @ 09:00:24

    I expected more sums and clear concepts ..the depth of understanding.is not there …..

    Like

    Reply

  15. Sriya
    Dec 04, 2016 @ 09:01:10

    I expected more sums

    Like

    Reply

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