The flight from Detroit (DTW) to Johannesburg (JNB) takes about 15h 12m nonstop on a widebody airliner, covering 8,480 miles (13,648 km).
Johannesburg is 6 hours ahead of Detroit. You cross 6 time zones heading east. Eastbound trips like this one tend to be harder to adjust to, so plan for a day or two of jet lag.
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