Answer :
Final answer:
A 12-hour clock will read 100,000 hours after 11 am as 3 am.
Explanation:
To determine what a 12-hour clock reads 100,000 hours after 11 am, we need to consider that there are 12 hours in one clock cycle. Therefore, after 12 hours, the clock returns to 11 am. This means that for every multiple of 12 hours, the clock will indicate 11 am again.
Now, to find the time 100,000 hours after 11 am, we divide 100,000 by 12 to determine how many complete cycles the clock goes through.
100,000 ÷ 12 = 8,333 complete cycles.
This means that the clock will go through 8,333 cycles of 12 hours each. After 8,333 cycles, it will still indicate 11 am. To find the remaining hours, we subtract the time covered by these complete cycles from 100,000 hours.
8,333 cycles × 12 hours/cycle = 99,996 hours
So, there are 4 hours remaining after the complete cycles. Adding these 4 hours to 11 am gives us 3 am.
Therefore, a 12-hour clock will read 100,000 hours after 11 am as 3 am.
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