Problems on Train and Running man is an important category in **Time, Speed and Distance Topic**.

All formulas used are taken from TSD, so if you are not aware of that chapter please read that first.

**Question 01**

**A jogger is running at 9 kmph, alongside a railway track, is 240 m ahead of the engine of a 120 m long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?**

Given: Speed of jogger = 9 kmph

Speed of train = 45 kmph

Length of train = 120 m

Jogger is 240 m ahead of train

Now, **Speed of train relative to jogger = speed of train – speed of jogger** =(45 – 36) kmph

= 36 kmph

= 36 x (1000/3600) m/sec = 10 m/sec

(since 1km = 1000m and 1hr = 60 x 60 sec = 3600 sec

Distance to be covered = distance jogger is ahead of train + length of train = 240 + 120 = 360m

Therefore, time taken = distance/speed 360/10 = 36 sec

** Hence, train will pass through jogger in 36 sec.**