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2010 AMC 10A Question 13

AMC10 · 2010 AMC 10A

Question 13

Angelina drove at an average rate of $80$ kph and then stopped $20$ minutes for gas. After the stop, she drove at an average rate of $100$ kph. Altogether she drove $250$ km in a total trip time of $3$ hours including the stop. Which equation could be used to solve for the time $t$ in hours that she drove before her stop?
  1. $80t + 100\left(\dfrac83 - t\right) =
    250$
  2. $80t = 250$
  3. $100t = 250$
  4. $90t = 250$
  5. $80\left(\dfrac83 - t\right) + 100t = 250$