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AMC 10 2021-fall-a Problem 11

  • Paper

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 210210 equal steps walking from the back of the ship to the front. Walking in the opposite direction, she counts 4242 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? (A) 70(B) 84(C) 98(D) 105(E) 126\textbf{(A) }70 \textbf{(B) }84 \textbf{(C) }98 \textbf{(D) }105 \textbf{(E) }126

Dataset text NuminaMath-1.5. Quoted with source.

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70

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