Final answer:
Macbeth hurried home due to an urgent letter from Lady Macbeth, which conveyed the witches' prophecies and her ambitions for his swift return and action.
Step-by-step explanation:
The reason Macbeth went home so quickly was due to an urgent letter from Lady Macbeth. This letter, which she reads in the play, expresses her excitement about the witches' prophecy and imparts the urgency of Macbeth's return. Duncan also mentions Macbeth's hastiness, attributing it to his great love, sharp as his spur, helping him to reach home before the others. Lady Macbeth fuels Macbeth's ambition and desires for power, but it is her direct communication that made him return posthaste.