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Answer the following work problem. Report your answer to the nearest tenth of a day.

Petra can do a certain job in 10 days. Juanita can do the same job in 11 days. Petra and Juanita work together to complete the same job. However, Petra starts working 1 days after Juanita starts to work. How many days will it take for them to complete the job once Juanita starts to work? days