Three particles \( A, B \) and \( C \) move in a circle in anticlockwise direction with speeds \....

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Three particles \( A, B \) and \( C \) move in a circle in
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anticlockwise direction with speeds \( 1 \mathrm{~ms}^{-1} \), \( 2.5 \mathrm{~ms}^{-1} \) and \( 2 \mathrm{~ms}^{-1} \) respectively. The initial positions of \( \mathrm{A}, \mathrm{B} \) and \( C \) are as shown in figure. The ratio of distance travelled by \( B \) and \( C \) by the instant \( A, \mathrm{~B} \) and \( C \) meet for the first time is
(A) \( 3: 2 \)
(B) \( 5: 4 \)
(C) \( 3: 5 \)
(D) Data insufficient


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