AMC 10 Step by Step
2021 AMC Fall 10AProblem 6P1-10~2 minPrint

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 4141 st 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?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.