I came downstairs and set my new clock to 12 pm. Its Sunday. I go back to work on Monday. My shift starts at 12pm, in a days time. Unbeknownst to me, the clock is defective.
At 45 seconds into the first minute, the second hand stutters in the same place for two seconds and then continues as normal. It will then happen again, 61 seconds after the second hand continues (where it is 46 seconds past on the clock, though at the time it will be actually 48 seconds past) and will continue like this.
If I just use this clock and no other, how late will I be for work tomorrow?
This puzzle is based on a real clock I found on my desk, stuttering away and telling me the wrong time.