$1.$ One computer, named Computer I, has a $4$ GHz clock, which takes $25$ seconds to run a program. As a Computer Architecture Designer, you are required by your manager to design a computer, Computer II$,$ which will only run this program in $15$ seconds $($Note that it is possible for you to have a significant increase in the clock rate. This increase will make the Computer II to require $1\mathrm{.}5$ times as many clock cycles as Computer I for this program$).$ As a Computer Architecture Designer, please determine the clock rate of Computer II$.$