It depends on how do we understand the term "effectively spent day" , if the day described in the case is a normal, usual day, then I think Rachel managed it effectively, like over viewing weekly reports,following up project progress and managing all this everyday routine tasks.
This may exactly be the effectively spent time for project manager, if her main job is to control all directions of project.
But as I see in the case, Rachel is not deeply engaged in details of marketing group actions, as she finds the problem of promises post factum.
That means, she has not established the right process of communication between marketing and the project management team.
Also I believe Rachel has to control several unplanned breaks and should improve the way she ismanaging interruptions and the project status meetings.
She wasted time taking responsibility of Victoria's project instead of bringing it to the portfolio management team.
On the other hand Rachel has good communication with her boss - she provides feedback on a job well done at the end of each day.