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Explanation
A 270 meters long train running at the speed of 120km/h crosses another train running in opposite direction at the speed of 80km/h in 9 seconds. As, there are two trains who are moving in opposite direction. So;
relative speed = 120 + 80 = 200 km/h.
Let suppose the required length = y
Total length = y + 270
Length = speed x time
To Find
Length of the train?
Solution
Relative speed = 120 + 80 = 200 km/h
This speed in m/sec will be;
Relative speed = (200 x 1000)/3600 = 500/9 m/sec
As, there are two trains, so total length = y + 270 (Let suppose length of train is “y”)
Now,
length = speed x time
y + 270 = (500 x 9)/9
y + 270 = 500
y = 500 – 270
y = 230m answer
Conclusion
A 270 meters long train running at the speed of 120km/h crosses another train running in opposite direction at the speed of 80km/h in 9 seconds. Length of the other train will be 230m.