When two bodies move toward each other at constant speeds, the distance between them decreases at the rate of 6m/sec. If they move in the same. direction, the distance between them increases at the rate of 4M/sec. Then their speeds are:

Explanation

Given:- When moving toward each other, the distance between them decreases at 6 m/s.- When moving in the same direction, the distance between them increases at 4 m/s.Let the speeds of the two bodies be V1 m/s and V2 m/s.Motion Toward Each Other:The relative speed when moving toward each other is the sum of their speeds: V1 + V2 = 6 m/s.Motion in the Same Direction:The relative speed when moving in the same direction is the difference of their speeds: V1 - V2 = 4 m/s.Calculating Speeds:Solving the equations:- Adding the two equations gives: 2V1 = 10 , so V1 = 5 m/s.- Substituting V1 = 5 m/s into one of the equations gives: 5 + V2 = 6, so V2 = 1 m/s.The calculated speeds of the two bodies are 5 m/s and 1 m/s, satisfying both conditions provided in the question.