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2021 AMC 10C Question 11

AMC10 · 2021 AMC 10C

Question 11

Emily sees a ship traveling at a constant speed along a straight section of a river. She walks parallel to the riverbank at a uniform rate faster than the ship. She counts $210$ equal steps walking from the back of the ship to the front. Walking in the opposite direction, she counts $42$ steps of the same size from the front of the ship to the back. In terms of Emily’s equal steps, what is the length of the ship?
  1. $70$
  2. $84$
  3. $98$
  4. $105$
  5. $126$