If two objects move in same direction at different speeds

If speed of 1st object = x km/hr and

Speed of 2nd object = y km/hr

Therefore, their relative speed = (x – y) km/hr [x > y], then

Time after which the two objects meet = distance / relative speed = d km/ (x – y) km/hr

We know, speed of one object with respect to another is called relative speed.

If time after which they meet is given, i.e., time = t hrs.

Then, distance covered in ‘t’ hours = time × relative speed = t hours × (x – y) km/hr

Now we will learn to calculate when two object move in same direction at different speeds.

Solved examples:

Two athletes are running from the same place at the speed of 6 km/hr and 4 km/hr. find the distance between them after 10 minutes if they move in the same direction.

**Solution: **

When they move in same direction,

Their relative speed = (6 – 4) km/hr = 2 km/hr

Time taken = 10 minutes

Distance covered = speed × time

= (2 × 10/60) km

= 1/3 km

= 1/3 × 1000 m

= 333.3 m

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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