A train crosses a man coming from the opposite direction in 8 seconds.If the speed of the man and train are 5m/s and 25m/s respectively,find the length of the train
Answers
Concept:
The sum of the velocities of the two bodies, while they are travelling in opposite directions, determines their relative velocities. We need to utilise the speed = distance/time formula.
Given:
The time taken by the train to cross a man coming from opposite direction = 8secs
speed of man = 5m/s
speed of train = 25m/s
Find:
We need to determine the length of the train.
Solution:
The relative speed of the train and man moving in opposite directions is the sum of their respective speed.
Therefore, relative speed becomes,
speed of train + speed of man = 5 + 25 = 30m/s
We know, speed = distance/ time
Therefore, distance = speed × time
Since the relative speed was 30m/s and the time taken was 8secs.
Therefore, the formula for distance becomes,
distance = 30 × 8
distance = 240 m.
This distance corresponds to the length of the train.
Length of train = 240m.
Thus, the length of the train is 240m.
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