The portion of time a program spends performing floating$-$point operations is $40\%.$ A new floating$-$point co$-$processor would perform floating$-$point operations $4$ times as fast. Given that the execution time of some program was $75$ seconds, without the new floating$-$point co$-$processor, what would you expect the execution time of the program to be with the new floating$-$point co$-$processor, in seconds? $(25$ points$)$