If the two objects move in opposite direction at different speeds

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

Speed of 2nd object = y km/hr

Therefore, their relative speed = (x + y) km/hr

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

If distance between them = d km, then

Time after which the two objects meet = d km/(x + y) km/hr

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

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 opposite 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 opposite direction.

**Solution: **

When they move in opposite direction,

Their relative speed = (4 + 6) km/hr = 40 km/hr

Time taken = 10 minutes

Distance covered = speed × time

= 10 × 10/60 km

= 5/3 km

= 5/3 × 1000 m

= 5000/3 m

= 1666.6 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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