Abdulla bin Umar used to walk rapidly for three (rounds), and walk for four, and he said that the Messenger of Allah used to do that.
Sunan an-Nasa'i Book 24, Hadith 323
← Previous Hadith "When the Messenger of Allah came to Makkah he entered the Masjid and touched the Stone, then he moved to his right and walked rapidly for three (rounds) and then walked (at a regular pace) for four. Then he came to the Maqam and said: 'And take you (people) the Maqam (place) of Ibrahim as a place of prayer and prayed two Rakahs with the Maqam between him and the House. Then he came to the Hosue after praying those two Rakahs and touched the Stone, then he went out to As-Safa."

Sunan an-Nasa'i Book 24, Hadith 322 Next Hadith → when the Messenger of Allah performed Tawaf in Hajj and Umarah- as he first arrived (in Makkah), he would hasten in three rounds, and walk (at a regular pace) in four. Then he prayed two Rakahs, then he performed sai between As-Safa and Al-Marwah.

Sunan an-Nasa'i Book 24, Hadith 324