A clock starts at the correct time (3:00 AM) on Monday and gains 2 minutes every hour. Determine the time the clock shows when the actual time is 7:30 PM on Tuesday.
1. Calculate total hours from Monday 3:00 AM to Tuesday 7:30 PM: 40.5 hours.
2. Calculate total time gained: 40.5 hours × 2 minutes/hour = 81 minutes.
3. Convert gained time: 81 minutes = 1 hour and 21 minutes.
4. Add gained time to the actual time (7:30 PM): 7:30 PM + 1 hour 21 minutes = 8:51 PM.
Therefore, the clock will read 8:51 PM when the actual time is 7:30 PM on Tuesday.