Note the split between
rather than and
instead of. They have nearly identical meaning, and the OG rarely even mentions this split as a deciding factor, usually only citing the fact that both require parallelism (i.e. in X rather than Y, X and Y must be parallel).
However,
rather than is slightly more likely to be correct. Whether that is due to nuance and style is debatable, but there is an important grammar restriction on the use of
instead of: because
of is a preposition, it must have a noun as its object.
So you CAN say:
I want chocolate ice cream instead of vanilla today.
Miguel decided to play guitar instead of drums.
But you SHOULDN'T say:
I walked to work instead of drove.
Miguel played guitar instead of drummed.
In choices (C) and (D), the
instead of is incorrectly followed by an adverb and prepositional phrase, respectively.
In choices (A) and (B), it could be ok to follow
rather than with adverbs. However, I think it is unclear what these adverbs modify (learning to speak separately? learning to speak a language separately? just learning separately, i.e. in a separate location?), and the parallelism is not great.
In (E), the parallelism between prepositional phrases
while learning to read it and
in a separate process makes the meaning much clearer. These are clearly two ways one would learn to speak a language.
Here are two similar examples:
In the talent show, Maya plans to whistle
while eating crackers rather than
inside a tank of water.
(It's clear that Maya was considering two ways to whistle!)
In the talent show, Maya plans to whistle while eating crackers rather than loudly.
(Not only is the parallelism poor (a grammar error itself), but the bad parallelism creates confusion about the intended meaning. What is "loudly"? The whistling? The cracker eating? the planning?)