a clock strikes only in the hour (once at 1.00,twice at 2.00 etc) how many times will it strike in one 24 hour day? please explain,thanks
2(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12) = ?
To determine how many times the clock will strike in a 24-hour day, we need to consider that the clock strikes once at 1:00, twice at 2:00, thrice at 3:00, and so on.
In a 24-hour day, there are 24 different hours. However, we should note that the clock will strike 12 times during the 12 hours of the afternoon (from 12:00 to 12:59) and another 12 times during the 12 hours of the night (from 12:00 to 12:59).
So, let's break it down:
- From 1:00 to 12:00 (12 hours): The clock strikes once in each hour. Total strikes = 12.
- From 12:00 to 1:00 (1 hour): The clock strikes 12 times because it strikes once at 12:00 and once at 1:00 (the first hour of the next day).
- From 1:00 to 12:00 (12 hours): The clock strikes once in each hour. Total strikes = 12.
Therefore, the clock will strike 12 + 12 + 12 = 36 times in a 24-hour day.
Explanation: We calculated the number of strikes in each interval (12 strikes from 1:00 to 12:00 and 12 strikes from 12:00 to 1:00). By adding these two intervals together, we found that the clock strikes a total of 36 times in a single 24-hour day.