MathDB
Distance between two pulleys

Source: 1971 AHSME Problem 9

April 18, 2014
AsymptotegeometryrectangleAMC

Problem Statement

An uncrossed belt is fitted without slack around two circular pulleys with radii of 1414 inches and 44 inches. If the distance between the points of contact of the belt with the pulleys is 2424 inches, then the distance between the centers of the pulleys in inches is
<spanclass=latexbold>(A)</span>24<spanclass=latexbold>(B)</span>2119<spanclass=latexbold>(C)</span>25<spanclass=latexbold>(D)</span>26<spanclass=latexbold>(E)</span>435<span class='latex-bold'>(A) </span>24\qquad<span class='latex-bold'>(B) </span>2\sqrt{119}\qquad<span class='latex-bold'>(C) </span>25\qquad<span class='latex-bold'>(D) </span>26\qquad <span class='latex-bold'>(E) </span>4\sqrt{35}