"They asked Ibn Umar: 'Did you see the Messenger of Allah walk rapidly between As-Safa and Al-Marwah?' He said: 'He was among a group of people and they walked rapidly, and I think they went at the same pace as him.'" (Daif)
when the Messenger of Allah came down from As-Safa he would walk until he reached the bottom of the valley, then he would hasten until he came out of it.
the Messenger of Allah came down from As-Safa until he reached level round in the valley, then he hastened (Ramel) until (the ground) rouse, then he walked.
the Messenger of Allah came to Al-Marwah and climbed up until he could see the House, then he said: "La ilaha illallah, Wahdahu la sharika lah, lahul-mulku wa lahul-hamdu, yuhyi wa yumitu, wa huwaala kulli shayin qadir (There is none worthy of worship except Allah alone with no partner or associate, His is the dominion and to Him be praise, He gives life and death, and He has power over all things)." He said that three times, then he remembered Allah, and glorified and praised Him, then he supplicated there for as long as Allah willed. And he did that until he had finished Sai."
"La ilaha illallah, Wahdahu la sharika lah, lahul-mulku wa lahul-hamdu, yuhyi wa yumitu, wa huwaala kulli shayin qadir (There is none worthy of worship except Allah alone with no partner or associate, His is the dominion and to Him be praise, He gives life and death, and He has power over all things)." Then he walked until he reached level ground, then he hastened until the ground began to rise. Then he walked until he came to Al-Marwah, and he did the same there as he had at As-Safa, until he had finished his Sai."