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2017 preRMO p3, team A needs 12 days, team B needs 36

Source:

August 9, 2019
algebraproblem

Problem Statement

A contractor has two teams of workers: team AA and team BB. Team AA can complete a job in 1212 days and team BB can do the same job in 3636 days. Team AA starts working on the job and team BB joins team AA after four days. The team AA withdraws after two more days. For how many more days should team BB work to complete the job?
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