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Count a response deadline only through active service minutes

Carry unused active minutes across an excluded break under an explicit local clock rule.

Write the clock rule

Synthetic clock counts 09:00–12:00 and 13:00–17:00, excluding 12:00–13:00. A request arrives 11:40 with a 50-active-minute acknowledgement target. Reaching the target boundary is on time; no weekends or other days are involved.

Active-minute ledger
SegmentCounted minutesRemainder
11:40–12:002030
12:00–13:00030
13:00 onwardNeed 300 at 13:30
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Carry the remainder across the break

  1. Count until the active window closes
  2. Skip the excluded interval
  3. Resume the remaining active minutes

Do not extend the deadline by an unstated pause.

What is the deadline, and is 13:31 on time?

Show the worked answer

13:30. Twenty active minutes before lunch plus thirty after it equal 50;13:31 is one active minute late.

Separate deadline from actual response

Filled decision checks
CaseDecisionReason
13:30 acknowledgementOn timeExactly 50 active minutes
13:31 acknowledgementLate51 active minutes elapsed
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Keep the arrival and human acknowledgement timestamps with the clock version. An automated receipt is not the acknowledgement required by this exercise.

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