It was narrated that Ibn ‘Umar said: “If I go quickly between Safa and Marwah, that is because I saw the Messenger of Allah (ﷺ) going quickly, and if I walk that is because I saw the Messenger of Allah (ﷺ) walking, even though I am an old man.”
SahihSahihHasanBook 25 · Hadith 107