When train passes a moving object in the same direction

Let length of train = l meters and speed of train = x km/hr

Speed of the object = y km/hr and relative speed = (x – y) km/hr

Then, time taken by the train to pass the moving object = l meters/(x – y) km/hr

Now we will learn to calculate when train passes a moving
object in the same direction.

Solved example:

A train 165 m long is running at the speed of 60 km/hr. In what time will it pass a man who is running at the speed of 6 km/hr in the same direction in which the train is moving?

**Solution:**

Man moving in the same direction of the train

Speed of train relative to the man = (60 – 6) km/hr

= 54 km/hr

= (54 × 5/18) m/sec

= 15 m/sec

Time taken by the train to cross a man = distance/speed

= length of train/speed of train relative to man

= 165 m/15 m/sec

= 11 sec

Relationship between Speed, Distance and Time

Problems on Calculating Distance

Two Objects Move in Same Direction

Two Objects Move in Opposite Direction

Train Passes a Moving Object in the Same Direction

Train Passes a Moving Object in the Opposite Direction

Two Trains Passes in the Same Direction

Two Trains Passes in the Opposite Direction

**8th Grade Math Practice**

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