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2010 AMC 8 Question 8

AMC8 · 2010 AMC 8

Question 8

As Emily is riding her bicycle on a long straight road, she spots Emerson skating in the same direction $\frac{1}{2}$ mile in front of her. After she passes him, she can see him in her rear view mirror until he is $\frac{1}{2}$ mile behind her. Emily rides at a constant rate of $12$ miles per hour, and Emerson skates at a constant rate of $8$ miles per hour. For how many minutes can Emily see Emerson?
  1. $ \ 6 $
  2. $ \ 8 $
  3. $ \ 12 $
  4. $ \ 15 $
  5. $ \ 16 $