Why does the Torah see fit to inform us that Rivkah hurried to empty her pitcher into the trough, and that she ran to the well to draw water for the camels?
She acted like Avraham, who hurried and ran 1 to serve his guests (18: 6-7), and whose house she was destined to enter. 2 (EC)
Ha'amek Davar: Even though she knew that what remained in her pitcher would not suffice for the camels, and she would need to draw from the Be'er, she did not waste the remainder and spill it on the ground.
Why did Eliezer allow Rivkah, a young girl, to actually draw water for ten camels and water them? Considering that there were eleven able-bodied men, why did he not accept her readiness to water them as sufficient proof as to her amazing Midah of Chesed, and then share the task of watering the camels with the other servants?
Oznayim la'Torah: Because he also wanted to check out her health. 1 When she drew water for ten camels and watered them he knew that, not only was she beautiful, both in appearance and in Midos, but that she was also strong and healthy - a fitting Shiduch for Yitzchak.
Also refer to 24:17:2:1**.
Why does it say that she ran to the Be'er? Initially, she went to "Ein ha'Mayim" (24:16)!
Malbim, Ha'amek Davar (to 24:13): The' Ein ha'Mayim' is colder, clearer water for people to drink. The big Be'er is for drawing for animals.