It is narrated from Hisham bin Urwah (may Allah have mercy on him) that his father asked Usama bin Zaid (may Allah be pleased with him)—I was also sitting with them—about the manner in which the Messenger of Allah (ﷺ) walked when returning from Arafat. He replied: "He (ﷺ) would walk with a brisk pace, and when he found an open space, he would walk even faster."
Hadith Referenceالسنن المأثورة / باب ما جاء في فدية الأذى / 473
Hadith Takhrijصحیح بخاری، الحج، باب السیر اذا دفع من عرفۃ، رقم: 1666، صحیح مسلم، الحج، باب الافاضۃ من عرفات الی المزدلفۃ، رقم: 1286۔