The distance between two particles is decr

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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

$5 \,m/sec ; 2\, m/sec$

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

  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 ${v_2} = 1\;m/s$