Consider a two particle system with particles having masses $m_1$ and $m_2$. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position ?

Question

( A ) $\frac{m_2}{m_1} d$
( B ) $d$
( C ) $\frac{m_1}{m_2} d$
( D ) $\frac{m_1}{m_1 + m_2} d$