Two cars $S_1$ and $S_2$ are moving in coplanar concentric circular tracks in the opposite sense with the periods of revolution $3 \,min$ and $24 \,min$, respectively. At time $t=0$, the cars are farthest apart. Then, the two cars will be 

  • [KVPY 2017]
  • A

    closest to each other at $t=12 \,min$ and farthest at $t=18 \,min$

  • B

    closest to each other at $t=3 \,min$ and farthest at $t=24 \,min$

  • C

    closest to each other at $t=6 \,min$ and farthest at $t=12 \,min$

  • D

    closest to each other at $t=12 \,min$ and farthest at $t=24 \,min$

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