MathDB
Emu versus Ostrich

Source: 2021 Fall AMC 12A #5/2021 Fall AMC 10A #6

November 11, 2021
AMCAMC 12AMC 12 AAMC 10AMC 10 A

Problem Statement

Elmer the emu takes 4444 equal strides to walk between consecutive telephone poles on a rural road. Oscar the ostrich can cover the same distance in 1212 equal leaps. The telephone poles are evenly spaced, and the 4141st pole along this road is exactly one mile (52805280 feet) from the first pole. How much longer, in feet, is Oscar's leap than Elmer's stride?
<spanclass=latexbold>(A)</span>6<spanclass=latexbold>(B)</span>8<spanclass=latexbold>(C)</span>10<spanclass=latexbold>(D)</span>11<spanclass=latexbold>(E)</span>15<span class='latex-bold'>(A) </span>6\qquad<span class='latex-bold'>(B) </span>8\qquad<span class='latex-bold'>(C) </span>10\qquad<span class='latex-bold'>(D) </span>11\qquad<span class='latex-bold'>(E) </span>15