2 and a half hours approx
There are many ways to get from Brisbane to Rockhampton. You can drive, fly, or take the bus. If you plenty of time, the Greyhound bus offers one-way or round trip tickets. However, the tickets are expensive and it will take 26-28 hours to get there.
The total distance between the two locations is 168 miles. It will take about 3 hours and 14 minutes.
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From port Douglas to Rockhampton is a distance of about 1130 km, and would take around 14 hours of actual travelling time (without breaks).