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Lee, Kim and Patel work in a bakery that specializes in fancy cupcakes. The bakery must be completely stocked with the day's cupcakes by 7 a.m. Working alone Lee can bake and decorate the day's inventory in 6 hours. The same job takes Kim 10 hours. How long would it take Patel working alone if working together, all three can complete the job if they begin at 5 a.m.?

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