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2017 AMC 12A Question 13

AMC12 · 2017 AMC 12A

Question 13

Driving at a constant speed, Sharon usually takes $180$ minutes to drive from her house to her mother’s house. One day Sharon begins the drive at her usual speed, but after driving $\dfrac{1}{3}$ of the way, she hits a bad snowstorm and reduces her speed by $20$ miles per hour. This time the trip takes her a total of $276$ minutes. How many miles is the drive from Sharon’s house to her mother’s house?
  1. $132$
  2. $135$
  3. $138$
  4. $141$
  5. $144$