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Around 5339 km/hour is the result for the "average speed" but the actual top speed would be much higher, and the lowest speed much lower. In the 148-hour trip by Apollo 8 in 1968, the spacecraft spent 2 hours in Earth orbit before traveling to the Moon, and 67 hours getting there. They spent 20 hours making 10 orbits of the Moon, at an average speed of about 6000 km/hr. On the last leg of their return to Earth, they traveled 400,000 km in 55 hours and reached a maximum speed of 40,000 km/hr.

The "average" distance to the Moon is 384,400 km, so the round trip is a minimum of 768, 800 km.

The actual surface to surface distance is about 8100 km less, since the distance is measured from the center of the Earth to the center of the Moon, but you would probably have to orbit anyway.

768800 km / 144 hours = 5338.88 km/hr

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