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Problem 22 (2022 AMC 8)

AMC 8Hard

From module Word Problems

Problem

A bus takes 22 minutes to drive from one stop to the next, and waits 11 minute at each stop to let passengers board. Zia takes 55 minutes to walk from one bus stop to the next. As Zia reaches a bus stop, if the bus is at the previous stop or has already left the previous stop, then she will wait for the bus. Otherwise she will start walking toward the next stop. Suppose the bus and Zia start at the same time toward the library, with the bus 33 stops behind. After how many minutes will Zia board the bus?

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