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.
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