Breakdown of Сестра попросила меня занести документы в офис и забежать в аптеку по дороге.
Questions & Answers about Сестра попросила меня занести документы в офис и забежать в аптеку по дороге.
This is a question of aspect.
- попросила = perfective: she made the request as a completed single action
- просила = imperfective: she was asking, used to ask, or the request is viewed as a process
In this sentence, the natural meaning is that the sister made one specific request, so попросила is the normal choice.