Difference between revisions of "2018 AMC 8 Problems/Problem 17"
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<math>\textbf{(A) }704\qquad\textbf{(B) }845\qquad\textbf{(C) }1056\qquad\textbf{(D) }1760\qquad \textbf{(E) }3520</math> | <math>\textbf{(A) }704\qquad\textbf{(B) }845\qquad\textbf{(C) }1056\qquad\textbf{(D) }1760\qquad \textbf{(E) }3520</math> | ||
| − | + | ==Solution== | |
| − | + | Since Ella rides 5 times as fast as Bella, Ella rides at a rate of <math>\frac{25}{2}</math> or <math>12 \tfrac{1}{2}</math>. Together, they move <math>15</math> feet towards each other every unit. You divide <math>10560</math> by <math>15</math> to find the number of steps Ella takes, which results in the answer of <math>704</math> or <math>\textbf{(A) }</math> | |
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Revision as of 11:06, 21 November 2018
Problem 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 
miles, which is 
feet, and Bella covers 
feet with each step. How many steps will Bella take by the time she meets Ella?
Solution
Since Ella rides 5 times as fast as Bella, Ella rides at a rate of 
or 
. Together, they move 
feet towards each other every unit. You divide 
by to find the number of steps Ella takes, which results in the answer of 
or 
