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2014 AMC 8 Question 17

AMC8 · 2014 AMC 8

Question 17

George walks $1$ mile to school. He leaves home at the same time each day, walks at a steady speed of $3$ miles per hour, and arrives just as school begins.

Today he was distracted by the pleasant weather and walked the first $\frac{1}{2}$ mile at a speed of only $2$ miles per hour. At how many miles per hour must George run the last $\frac{1}{2}$ mile in order to arrive just as school begins today?
  1. $ 4 $
  2. $ 6 $
  3. $ 8 $
  4. $ 10 $
  5. $ 12 $