Relative Velocity

Let the speeds of the two objects be and .
Step 1: When the objects are moving in the same direction
The relative speed of the two objects when moving in the same direction is . According to the problem, the distance between the objects increases by 6 m in one second, so we have:
Step 2: When the objects are moving towards each other
When the objects move towards each other, the relative speed is . In this case, the distance decreases by 8 m in one second, so we have:
Step 3: Solve the system of equations
We now have the following system of equations: 1. 2. From equation (1), we have two cases: - Case 1: - Case 2: # Case 1: Solving the system of equations: Adding these two equations: Substitute into : Thus, the speeds of the two objects are and . Therefore, the correct answer is and , which corresponds to option (B).