Final answer:
To determine the earliest dinner time after your meeting, you need to add 25 minutes to the meeting's end time. If going directly from the client's office, the earliest you could make it to dinner would be 5:40pm. However, your schedule suggests driving to the hotel first, rendering dinner before that unfeasible.
Step-by-step explanation:
The earliest time you can arrive at dinner can be determined by adding the meeting end time with the estimated travel time to the restaurant. Your meeting with the client ends at 5:15pm. Given that the restaurant is 25 minutes from the client's office, if we add these 25 minutes to 5:15pm, we would get 5:40pm as the time you would leave the client's office. However, you mentioned that you have to drive to the hotel first which takes 45 minutes (from 5:15pm-6:00pm). Therefore, if your plan was to go to the hotel first before dinner, you wouldn't be able to make it to dinner until after 6:00pm.