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2021 AMC 10A Question 6

AMC10 · 2021 AMC 10A

Question 6

Chantal and Jean start hiking from a trailhead toward a fire tower. Jean is wearing a heavy backpack and walks slower. Chantal starts walking at $4$ miles per hour. Halfway to the tower, the trail becomes really steep, and Chantal slows down to $2$ miles per hour. After reaching the tower, she immediately turns around and descends the steep part of the trail at $3$ miles per hour. She meets Jean at the halfway point. What was Jean’s average speed, in miles per hour, until they meet?
  1. $\dfrac{12}{13}$
  2. $1$
  3. $\dfrac{13}{12}$
  4. $\dfrac{24}{13}$
  5. $2$