Did not our heart burn within us...? — More accurately, Was not our heart burning...? the tense both of this and of the other verbs implying a continuous and not a momentary state or act.
Related Commentaries of Luke 24:32
Luke 24:32
32 And they said one to another, Did not our heart burn within us, while he talked with us by the way, and while he opened to us the scriptures?