By taking on the verb meaning "care," a lot of meaning is lost here. This verse is difficult to translate because it was clearly meant to be spoken, as part of telling a story. You have to imagine it in the mouth of a master storyteller, illustrated with gestures, punctuated with pauses. The Biblical translators try to simplify it, transforming it into easy-to-follow English sentences, thereby misconstruing almost every word.
This verse contains several unusual words for Jesus, two of them unique, and a very unusual construction. It works better as a spoken phrase than a written one because the implied verb in the last two phrases acts as the subject of the first clause. The Biblical translations are paraphrases rather than translations, ignoring the actual words and their forms.
One unique word here is translated as "made light" and "paid no attention," but it actually means "not care." The word is simpler than the translations of it, a prefix meaning "not" and a root meaning "care."
The other unique word means "personal" and is translated as "his." So Jesus uses a very specific, unusual word and the translators replace it with a word as common as dust. This type of treatment seems disrespectful to me, as if Jesus wasn't careful in choosing his words, when the opposite it true.
In describing the two people departing, Jesus uses the same word, a demonstrative pronoun, meaning "this" or "that." When used together as subjects, the sense is "this one" and "that one." In Biblical translation, this is ended as "one...another," which is a similar construction but not as pointed as the use of the demonstrative.
Christ's Words in Matthew as a Guide to 40 Days of Prayer.