Two trains of equal length are running on parallel lines in the same direction at 46 km/hr. and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is

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50 m

72 m

80 m

82 m

answer is A.

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Detailed Solution

Concept- To solve this question, we need to know the concept of relative speed. For example, if two trains are running in the same direction, then the relative speed of these two will be the difference of their individual speeds,
And if the two trains are running in the opposite direction, then the relative speed of these two will be the summation of their individual speeds.
Also, let us assume the lengths of the trains to be “x”.

Using x and data provided in the question statement in the above formula, we will form a linear equation of a single variable and solving for x, we will obtain our desired answer.
Given, two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr.
Assumed, length of each train is x meters.
Therefore, the total length of two trains = (x + x) = 2x meters.
Since, the two trains are running in the same direction, then the relative speed of these two
= (46 – 36) km/hr = 10 km/hr
Question Image

And, the faster train passes the slower train in 36 seconds, i.e.,
Question Image

Hence, the correct answer is 1.

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