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- A train 800 meters long is running at a speed of 78 km/h
- A 300 meters long train crosses a platform in 39 seconds
- A train takes 18 seconds to pass completely through a station

## Explanation

A train speeds past a pole in 15 seconds and platform in 25 seconds. Our final aim is to find out the length of the train. Trainâ€™s length would be calculated with speed distance time formula.

There are two things in this question.

- Trains crosses pole in 15 seconds; it means we are only talking about the length of the train.
- Trains crosses platform in 25 seconds; it means we are talking about length of the platform as well as the length of the train.

Let suppose the length of the train is y then

Total length = length of train + length of platform

Total length = y + 100

Another thing that we need is the speed of train which is very easy to find out.

Speed of train = y / 15

Now, we can calculate the length of the train by placing all the values in the speed distance time formula;

Speed = Distance / Time

Distance = Speed x Time

### To Find

Length of the train = ?

## Solution

As, we know that

Distance = speed x time

y + 100 = y/15 x 25

y + 100 = y/3 x 5

3(y + 100) = 5y

3y + 300 = 5y

5y â€“ 3y = 300

2y = 300

**y = 150 m answer**

### Conclusion

So if a train speeds past a pole in 15 seconds and a platform 100 meter long in 25 seconds. Its length is **150 m**