Two Objects Move in Opposite Direction

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.


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

Speed of Train

Relationship between Speed, Distance and Time

Conversion of Units of Speed

Problems on Calculating Speed

Problems on Calculating Distance

Problems on Calculating Time

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

Train Passes through a Pole

Train Passes through a Bridge

Two Trains Passes in the Same Direction

Two Trains Passes in the Opposite Direction

8th Grade Math Practice

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Worksheet on Conversion of Units of Speed

Worksheet on Calculating Time

Worksheet on Calculating Speed

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Worksheet on Relative Speed

Worksheet on Decimal into Percentage