Two trains A and B, 125 m and 100 m long are moving in opposite dircctions on parallcl tracks.

step 1 Hello students. In this question, let us assume that the longer train is stopped, then the veloc

Two trains A and B, 125 m and 100 m long are moving in...

Two trains $A$ and $B, 125 \mathrm{~m}$ and $100 \mathrm{~m}$ long are moving in opposite dircctions on parallcl tracks. The velocity of train $B$ is threc times that of train $A$. The trains take 4 sec to pass cach other calculate the velocity of cach train.

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Key Concepts

Relative Speed

Relative speed is the effective speed when two objects move toward or away from each other. When objects move in opposite directions, their relative speed is the sum of their individual speeds, which is essential for determining how quickly they will pass by one another.

Distance and Time Relationship

This concept is based on the fundamental equation distance = speed × time. It is used to relate how far an object travels based on its speed over a given period, thereby allowing the calculation of one variable when the other two are known.

Combined Length (Effective Distance)

In problems involving objects like trains passing each other, the combined length or effective distance is the sum of the individual lengths of the objects. This total distance needs to be covered for the objects to completely pass one another, and it is a key parameter in formulating the problem.

Speed Ratio

A speed ratio compares the speeds of two moving objects, indicating one object's speed as a multiple of the other. This concept simplifies problem-solving by allowing one speed to be expressed in terms of the other, thereby reducing the number of unknowns in the equations.

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