Final answer:
Space colonists traveling at 6,000 km/h would take approximately 64.17 hours to reach the moon from Earth when the moon is at its farthest point, which is about 385,000 km away.
Step-by-step explanation:
To answer how long it will take space colonists traveling at 6,000 km/h to reach the moon from Earth at its farthest point, we refer to the given distance of 385,000 km, which is the approximate farthest distance from the moon to Earth. To calculate the travel time, we use the equation Time = Distance ÷ Speed. Plugging in the numbers:
Time = 385,000 km ÷ 6,000 km/h = 64.17 hours
Note: This is a simplified calculation that assumes constant speed and direct travel, ignoring the complexities of orbital mechanics and acceleration phases.