MathDB
Exercising Emily

Source: 2022 AMC 10A P11

November 11, 2021
AMCAMC 10AMC 10 Aemily

Problem Statement

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 tha 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? <spanclass=latexbold>(A)</span>70<spanclass=latexbold>(B)</span>84<spanclass=latexbold>(C)</span>98<spanclass=latexbold>(D)</span>105<spanclass=latexbold>(E)</span>126<span class='latex-bold'>(A) </span>70\qquad<span class='latex-bold'>(B) </span>84\qquad<span class='latex-bold'>(C) </span>98\qquad<span class='latex-bold'>(D) </span>105\qquad<span class='latex-bold'>(E) </span>126