Multitasking This thread caught my eye. I haven't read all of the responses but the initial question was very interesting to me because I had a very similar thought last year.
I learned that my depiction of multitasking, (the intital example of patting your head and rubbing your tummy... Or drawing a square and circle with opposite hands) is not actual multitasking at all. Multitasking would be closer defined to being able to do two things simultaneously. While you could consider listening to music and seeing colour as doing two things at once it is just our brain processing these things one at a time, back and forth very quickly. The brain goes back and forth so fast we percieve them as happening at the same time like hearing talking seeing feeling etc... It's done almost simultaneously but not quite. Machines, much like our brains do the same. They can calculate and sort through vast amounts of information very quickly but it's never at the exact same time. My guess is that the reason our brains don't allow us to do things like think of two different ideas at once, look in two directions with our eyes and process both images properly or even say two different sentences at the same time is because we are limited by our hardware and processing power. For example: trying to do something impossible like see ultraviolet light or say two different sentences at once is a hardware limitation. We don't have the eyes that can see that light wave length or two throats tongues and mouthes to formulate and say two separate sentences at the same time ... While something like thinking two ideas in your head much like the OPs original banana comparison is a software limitation. Thoughts are complex for the brain. They seem normal to us because we think different thoughts every day but every idea we have or sentence we form in our head is like our brain filling a huge storage area with information we are thinking about on the spot. The amount of energy needed to process that must be a limiting factor for our brain. Routine background functions like sight and hearing may not be a small thing but our bodies seem to be accustomed to them in such a way we can percieve them almost instantaneously. Thoughts on the other hand seem to be single focused actions where the brain has to put a lot of emphasis on our individual thought. That's just my 2 cents.
As for why our brains are like this... I feel like that would either have to go to a religious or scientific debate.