Abdullah bin Umar used to walk rapidly in three rounds of his Tawaf when he came for Hajj or Umrah, and walk (at a normal pace) in four. He said: "The Messenger of Allah used to do that."
Reference: Sunan an-Nasa'i 2943 In-book : Book 24, Hadith 0 English translation : Vol. 3, Book 24, Hadith 2946
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