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Consider a system of two particles having masses \( m_{1} \) and \( m_{2} \). If the particle of mass \( m_{1} \) is pushed towards the mass centre of particles through a distance \( d \), by what distance would the particle of mass \( m_{2} \) move, so as to keep the mass centre of the particles at the original position?
(A) \( d \)
(B) \( \frac{m_{2} d}{m_{1}} \)
(C) \( \frac{m_{1} d}{m_{2}} \)
(D) \( \frac{m_{1} d}{m_{1}+m_{2}} \)
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