Assume I have a process that consists of two ideally independent tasks (ideally, to remove the communication overhead). Would it be faster to do it on a single-core processor of 3GHz speed or two-core processor of 1.5GHz speed?
Of course, in case of two-core processor, the job is ideal for parallization. And for the single core, the two tasks will be time shared.
Update: questition in other words
A single-core processor of double the speed is always a better option than a two-core processor?
Ideally independent 2 tasks running on unideal OS like Windows 2012 will run faster on 2 cores at 1.5GHz, than on 1 core at 3GHz due to elimination of thread context switching overhead.
Unfortunately, there are very very few ideally independent tasks.