$3.(8$ points$)$ Compilers can highly impact the performance of an application.

Consider choosing between two different compilers, A and B$,$ to run the same high$-$level program. The program compiled using compiler A results in $1$ billion instructions and has an execution time of $1\mathrm{.}1$ seconds. The program compiled using compiler B results in $1\mathrm{.}2$ billion instructions and an execution time of $1\mathrm{.}5$ seconds. If the compiled programs run on $1$ GHz processors, what is the average CPI for the programs compiled using compiler A and compiler B$?$

Assume the compiled programs using compiler A and B run on two different processors that have different clock cycle times but the same CPIs from part A$.$ If the execution times on the two processors are the same, how much faster is the clock of the processor running compiler A$\text{'}$s code versus the clock of the processor running compiler B$\text{'}$s code?