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AMC 8 2018 Problem 17

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Bella begins to walk from her house toward her friend Ella's house. At the same time, Ella begins to ride her bicycle toward Bella's house. They each maintain a constant speed, and Ella rides 55 times as fast as Bella walks. The distance between their houses is 22 miles, which is 10,56010,560 feet, and Bella covers 2122 \tfrac{1}{2} feet with each step. How many steps will Bella take by the time she meets Ella? (A) 704(B) 845(C) 1056(D) 1760(E) 3520\textbf{(A) }704 \textbf{(B) }845 \textbf{(C) }1056 \textbf{(D) }1760 \textbf{(E) }3520

Dataset text NuminaMath-1.5. Quoted with source.

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704

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