Obviously, Barry was much faster than Pepper and it took a few minutes to get back to the Medical Center as Pepper didn't want to over exert herself in the heat of the day especially being pregnant herself. Especially after seeing what had just happened to Christine.
The two of them were talking when she came in and Pepper was relieved to see her friend smiling and talking and looking a bit better. "I'm here." She said. "I can get the water so you two can stay together."