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Shortcuts to solve Problems on Trains

Feb 19, 2018 10:57 IST


    Problems on Trains are quite common as questions from this topic come every year in various competitive exams like Banking, SSC, CSAT, etc.

    Problems on Trains

    The basic concepts of Time, Speed and Distance are used in solving Problems on Trains. So let us first go through some basic formulas of Time, Speed and Distance:

     Time Speed and Distance

    Learn Formulas and Shortcuts for Time, Speed and Distance

    Read the units of Time, Speed and Distance carefully. If the distance is given in km/hr and the speed is in m/sec then always convert the units.

    Conversion Time speed and distance


    Below are some set of rules to solve questions relating to Trains, irrespective of the types of train & shape of track:

    •    Length of the Train

    The lengths of the two trains are always added.

    Length of train

    •    Distance covered by the Train when crossing a Bridge or Platform

    The distance travelled by the train to clear a platform or a bridge is equal to the sum of the lengths of the train and the platform or the bridge.

    Train crossing bridge

    •    Opposite Direction

    Running in opposite direction, time taken by two trains of length  km and  km and speeds  km/hr and  km/hr respectively to cross each other is given by,

    Opposite Direction Train

    Opposite direction formula

    •    Same Direction

    Running in same direction, time taken by two trains of length  km and  km and speeds  km/hr and  km/hr respectively to cross each other is given by,

    Same Direction Train

    Same Direction Formula

    •    Crossing Time and Speed

    Crossing time and speed train

    Crossing Speed: If two trains X and Y starting from A and B and run towards each other and take a and b hours to reach B and A respectively after crossing each other then,

    Crossing speed train

    Crossing time train


    Let us understand the Problems on Trains with an example:

    Example: Two train travel in same direction, one at 30 km/hr and the other at 102 km/hr. A man sitting in the slower train passes the faster train in 6 secs. What is the length of the faster train?

    Solution:         Since the trains are running in same direction,

                          The length of the faster train

                         Problems on Trains Example

    If you found these shortcuts on ‘Problems on Trains’ useful, then do visit www.jagranjosh.com for more such videos on Quantitative Aptitude.

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