Jim go down the Hole

Algebra Level pending

Earthwurm Jim is trying to get home. He's on the surface of the earth. His home is exactly 30 meters straight down. He is 9 cm long. He can travel at a speed of 1 cm per hour, but every 6 hours he has to back trace his steps 3 cm. (He has to poop.) How many hours does it take Jim to get home completely?

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