What time does a 24-hour clock read (a) 100 hours after it reads 2:00? (b) 45 hours before it reads 12:00? (c) 168 hours after it reads 19:00?
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We are given an example of arithmetic modulo 24. For example, it is 22:00 now, then in 5 hours the clock will show 3:00 instead of 27:00. In other words, we need to find the remainder of 27 when divided by 24 ().
1) Suppose it's 2:00. What time is it in 4 days and 4 hours ( hours)?. Answer: 6:00.
2) Suppose it's 12:00. What time was it 1 day and 21 hours ago ( hours)?
. Answer: 15:00.
3) Suppose it's 19:00. What time is it in 7 days and 0 hours ( hours)?
. Answer: 19:00.