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MAA AMC
AMC 8
2018 AMC 8
17
17
Part of
2018 AMC 8
Problems
(1)
Bella Ella
Source: 2018 AMC 8 #17
11/20/2018
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
2
2
miles, which is
10
,
560
10,560
10
,
560
feet, and Bella covers
2
1
2
2 \tfrac{1}{2}
2
2
1
feet with each step. How many steps will Bella take by the time she meets Ella?
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704
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845
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1056
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1760
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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
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3520
2018 AMC 8
AMC 8