Best overlap: 4:00 PM to 6:00 PM in Auckland is 8:00 AM to 10:00 AM in Islamabad.
Schedule calls for 4:00 PM to 6:00 PM in Auckland — your colleagues in Islamabad will be online from 8:00 AM to 10:00 AM. With overlap this short — around 2 hours — a recurring slot at 4:00 PM in Auckland (8:00 AM in Islamabad) is worth its weight in gold. These times hold for most of the year, but Auckland's daylight saving (which Islamabad doesn't use) shifts them by an hour twice annually.
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The US to Australia gap runs 14 to 19 hours depending on the month, and someone is always in tomorrow. Exact overlap windows for every US coast, the double-DST trap, and a rotation rule that keeps it fair. -