Question

The distance between two particles is decreasing at the rate of 6 m/sec. If these particles travel with same speeds and in the same direction, then the separation increase at the rate of 4 m/sec. The particles have speeds as

• A. 5 m/sec ; 1 m/sec
• B. 4 m/sec ; 1 m/sec
• C. 4 m/sec ; 2 m/sec
• D. 5 m/sec ; 2 m/sec

Answer 1

Answer: (A)

5 m/sec ; 1 m/sec

Answer 2

When two particles moves towards each other then $v_{1} + v_{2} = 6$ ...(i)

When these particles moves in the same direction then $v_{1} - v_{2} = 4$ ...(ii)

By solving $v_{1} = 5$ and $v_{2} = 1\mspace{6mu} m/s$