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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