When two body approach each other with different speeds, the distance between them decreases by 120m for every one minute.Then the speeds of the body are
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Answer:
When two body approach each other with different speeds, the distance between them decreases by 120m for every one minute. if they are moving in direction,the distance between them increases by 90m for every one
Suppose both start at the origin
x1 = V1 t distance 1 travels
x2 = V2 t distance 2 travels
(x2 - x1) / t = V2 - V1 = 90/60 = 1.5 m/s both in same direction
(x2 + x1) / t = V2 + V1 = 120 / 60 = 2 m/s moving in opposite directions
adding equations 2 V2 = 3.5 m/s
so V2 = 1.75 m/s and V1 = .25 m/s
Note: in the second part the relative speed of approach will equal
the relative speed of separation - you could write
x2 = A - V2 t and have x1 start at the origin but the A will cancel when you subtract the equations
Suppose 1 starts at x1 = 0 and 2 starts at x2 = 200 and they are moving in opposite directions
After 60 sec x1 is at 15 m and x2 is at 200 - 105 = 95 m
Their separation has decreased by 120 m as specified.