Concept Based on Trains

The concept based on trains is an interesting part in mathematics to solve the problem-related time, speed, and distance. The concept is quite different from the regular problems associated with the motions of the bodies. Problems on time, distance, and speed are important parts of quantitative aptitude and are commonly asked in various competitive examinations. 

Explanation of the Concept Based on Trains

It is assumed that two trains are moving in the opposite or same direction to travel a particular distance at a specific time in order to solve problems. In this context, the concept based on trains is used to calculate the average speed that is required by the train to cover a particular distance. Under any circumstances, the time that a train takes to cover a certain distance is given, then the speed of the train can easily be calculated from the given time and distance. 

Important points on the concept based on trains:

1. I) The time that is taken by a train of length ‘l’ meter to cover a distance of d meter = total time taken by the train to travel (l+d) meter. 
2. II) Suppose a train X traveling at a speed of ‘a’ km/h and another train Y traveling parallels at a speed of ‘b’ km/h in the same direction. Then the relative speed will be calculated by the difference in the speed of both the trains i.e., (a-b) km/h.

III) Let a train X travels at a speed of ‘a’ km/h and another train Y travels parallels at speed of ‘b’ km/h in the opposite direction. Then the relative speed will be calculated by the addition of the speed of both the trains i.e., (a+b) km/h.

Formula related to the Concept Based on Trains 

Formula 1: Let a train cross a standing man or sitting man or a pole, then distance will be = length of the train. 

Therefore, Distance (D) = Length of the train (L) = time (T) * speed (S)

Time (T) = (D/S)

Speed (S) = (D/T)

Formula 2: Suppose a train crosses a pole in time ‘t1’ seconds and crosses a D meter long bridge in ‘t2’ seconds. Then, the length of the train will be = (D*t1) / (t2-t1)

Formula 3: Assume that two trains A and B of equal length are coming parallels from the same direction and cross a pole in ‘T1’ and ‘T2’ seconds respectively, then the point of time they cross each other = 2(T1*T2)/(T1-T2)

Examples related to the Concept Based on Trains

The concept based on trains can be explained with examples that can eventually demonstrate the working of the mentioned formulas. For instance, in order to find out the time taken by a 100m train at a speed of 30 km/ hr to pass a man can be solved with formulas. Here, the application of the formula can directly lead to the answer. As a result, anyone with the knowledge of the concept based on trains will be able to find out the time taken by the train to pass the man. In order to pass the man, the train only has to cover the length with the fixed speed in which it is moving. As a result, a simple calculation will assist in providing the answer, and for the calculation, a basic working knowledge is required.

Conclusion

The concept based on trains will lead to obtaining a deeper understanding of the subject, which in return will lead to the attainment of practical knowledge. It is because trains are related in real life scenarios, the formula of the concept-based train can impart knowledge about the way the length of train is to be calculated.