Answer: 5:35 p.m.
Reason:
She starts driving at 5:03 p.m. which is 3 minutes past the hour.
It's a 32 minute drive. Meaning that when she arrives, it will be 3+32 = 35 minutes past the hour (of the same hour).
Therefore, she started at 5:03 p.m. and arrived at 5:35 p.m.