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2018 AMC 8 Question 17

AMC8 · 2018 AMC 8

Question 17

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 $5$ times as fast as Bella walks. The distance between their houses is $2$ miles, which is $10{,}560$ feet, and Bella covers $2 \tfrac{1}{2}$ feet with each step. How many steps will Bella take by the time she meets Ella?
  1. $ 704 $
  2. $ 845 $
  3. $ 1056 $
  4. $ 1760 $
  5. $ 3520 $