Question 12: A server S requests to retrieve data from two data cente…

A server S requests to retrieve data from two data centers $DC_1$ and $DC_2$, which are located at distances of $D_1$ and $D_2$ meters respectively from the server S. The speed of data travelling through the medium that connects S with $DC_1$ is $m_1$ m/sec and that connects S with $DC_2$ is $m_2$ m/sec. With the given media for data transfer between S $\rightarrow DC_1$ and S $\rightarrow DC_2$, it takes an additional 200 milliseconds for the data to reach S from $DC_2$ than it takes from $DC_1$ if the complete response is ready only when the data is available to S from both the datacenters. Figure out the value of $m_2$ (in m/sec) in terms of $D_1$, $D_2$ and $m_1$. [Note: The data centers send responses only when they receive a request from the server]