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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**.