## Step 1: Determine the starting and end time for the first meeting The first meeting is rescheduled and will start at 9:00 AM the next day after it originally was rescheduled. ## Step 2: Calculate the time next day for the meeting The meeting will start at 9:00 AM. ## Step 3: Calculate the time for the lunch break The lunch break is at 12:30 PM. ## Step 4: Calculate the time for the planning session the next week The planning session is at 14:45. ## Step 5: Add the lunch break time to the planning session time to find the start time for the meeting 12:30 PM + 14:45 hours = 27:15. ## Step 6: We only need the 24-hour format, add the hours and minutes together 27 hours + 15 minutes = 08:15 ## Step 7: The hour is less than 24 hours, so the 0 hour is dropped We have found the time for the upcoming meeting. ## Step 8: We have the time for the meeting, which is 08:15 The final answer is: $\boxed{08:15}$