Q$\mathrm{.}5)$ Download delays for $100$ objects $($HTTP $1\mathrm{.}1$ with local web caching$).$

Consider an HTTP $1\mathrm{.}1$ client and server. The RTT delay between the client and server is $2$ seconds. Suppose the time a server needs to transmit an object into its outgoing link is $3$ seconds. There is also a local web cache, as shown in the figure below, with negligible $($zero$)$ propagation delay and object transmission time. The client makes $100$ requests one after the other, waiting for a reply before sending the next request. All requests first go to the cache $($which also has a $2\mathrm{.}0sec.$ RTT delay to the server but zero RTT to the client$).$

How much time elapses between the client transmitting the first request, and the receipt of the last requested object, assuming no use of the IF$-$MODIFIED$-$SINCE header line anywhere, and assuming that $50\%$ of the objects requested are "hits" $($found$)$ in the local cache?