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2009 AMC 10A Question 4

AMC10 · 2009 AMC 10A

Question 4

Eric plans to compete in a triathlon. He can average $2$ miles per hour in the $\tfrac14$-mile swim and $6$ miles per hour in the $3$-mile run. His goal is to finish the triathlon in $2$ hours. To accomplish his goal what must his average speed, in miles per hour, be for the $15$-mile bicycle ride?
  1. $\dfrac{120}{11}$
  2. $11$
  3. $\dfrac{56}{5}$
  4. $\dfrac{45}{4}$
  5. $12$