The adverb that modified the verb (finished) is quickly.
Adverbs answer the question: HOW IS THE ACTION DONE?
So,
How did John finish his work?
He finished it quickly.
Mathematical sciences<span> is a group of areas of study that includes, in addition to </span>mathematics, those academic disciplines that are primarilymathematical<span> in nature but may not be universally considered subfields of </span>mathematics<span> proper.</span>
The answer is A. However. Hope this helps. :)
The participle phrase is "hearing the footsteps of its owner".