The study introduces that with a vast competition in Government competitive exams, the problems on Trains-important facts and formulae emerge as an important problem of Mathematics in a competitive exam. Moreover, these kinds of problems are mainly asked in the various competitive exams of the government because the board of the exam has been getting a lot of applications for vacant seats. Furthermore, these problems are able to judge the sharpness of the mind of applicants that are filling the application form because there is some complexity that cannot be easily understood by the examinee.

Problems on Trains-Important Facts and Formulae

Several complexities can be introduced by the board of a specific examination to make it more and more complex for the examinee and select an impeccable candidate for the vacant seat. Examinees want to solve the problems regarding the Trains and their speed, they have to remember all things regarding the problems on Trains-important facts and formula otherwise they can do wrong and get a wrong solution. Since trains have their own length so many times the examinees forget this fact when they are solving the problems and get an error in the result. In a competitive exam, more often, ask the examinees when the two trains cross each other if they are moving in the same direction or moving in the opposite direction with a different speed. Few exams ask a simple question like that if a train is moving with speed X and it crosses a pole in Y time then the length of the train is. In this question, the examinees have to remember all points regarding problems on Trains-important facts and formulas. The length of a train is interrelated with the speed and time so if the examinees know this fact then they can get an impeccable solution.

Facts related to Trains Problems

The examinees or the students, who are preparing for Government Competitive exams like banks, SSC and even UPSC or other state PCS, have to remember problems on Trains-important facts and formulas to crack the exams so that they will be able to boost their economy. Some of the facts regarding problems on Trains-important facts and formulas are as follows:

• A train has a length so when it is crossing a pole or anything that does not have its own length then the distance traveled by it is nothing but its length.
• When a train crosses a station or another train then the examinees must add the length of the station and the train or the length of both trains as mentioned in the problems.
• The speed and time formula is helpful to solve the problem on trains 
• If an examinee keeps in mind the fact that trains have length and have to include things in the calculation of time and speed then they must get an actual and error-free solution.

Various Formulas on Trains problems

• Length of a train = its speed * time taken by it to cross a pole or an object that has a negligible length. (This length formula is appropriate for those problems that are mentioned a train is crossing a pole or an object that have a negligible length)
• Length of a train = (its speed * time taken by it to cross the platform or an object that has length) – length of the platform or the object. (this length formula is compatible with  those problems in which a train is crossing a platform or an object that have a length )
• By the use of the above formulas, the students can easily find out the speed of trains if the problems provide the length of a train and the time taken by it to cross the platform of the pole.
• If a train leaves a station P (says) at time t1 and another train leave station Q at time t2 and they travel with the speed X and Y respectively then the distance from the station P where these two trains meet = (t2 – t1) * ((X * Y) / X – Y)
• The average speed of a train has been calculated by the general formula of speed and time that is used in other mathematica problems.

Conclusion

There are no other facts except the length of the train and the length of the platform, but this is able to generate a twist in the simple problems, and this is a reason why the competitive exams ask such kinds of problems to get an impeccable candidate. Since problems regarding speed and time of trains are much trickier than other problems of speed and time, nowadays, almost every exam asks such kind of problems