MathDB
Bella Ella

Source: 2018 AMC 8 #17

November 20, 2018
2018 AMC 8AMC 8

Problem Statement

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 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?
<spanclass=latexbold>(A)</span>704<spanclass=latexbold>(B)</span>845<spanclass=latexbold>(C)</span>1056<spanclass=latexbold>(D)</span>1760<spanclass=latexbold>(E)</span>3520<span class='latex-bold'>(A) </span>704\qquad<span class='latex-bold'>(B) </span>845\qquad<span class='latex-bold'>(C) </span>1056\qquad<span class='latex-bold'>(D) </span>1760\qquad <span class='latex-bold'>(E) </span>3520