you have a clock that only shows time in a 12-hour format. If it's currently 4:30 PM, what will be the time after 137 hours?

Sure, let's break it down:

1. First, we need to determine how many full days (24 hours) are in 137 hours. To do this, we divide 137 by 24. The result is approximately 5.7 days.

2. The integer part of the result (5 days) is the number of full days. The decimal part (.7) represents the remaining hours. To find out how many hours .7 of a day is, we multiply .7 by 24, which gives us approximately 17 hours.

3. Now, we add these 5 days and 17 hours to the current time (4:30 PM).

4. Adding 5 days to the current day doesn't change the time, because every 24 hours the clock shows the same time. So, we just need to add 17 hours to 4:30 PM.

5. If we add 12 hours to 4:30 PM, we get 4:30 AM of the next day. We still need to add 5 more hours, which brings us to 9:30 AM.

So, the time on the clock after 137 hours will be 9:30 AM.