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Men laying bricks

Source: 1971 AHSME Problem 2

April 17, 2014
AMC

Problem Statement

If bb men take cc days to lay ff bricks, then the number of days it will take cc men working at the same rate to lay bb bricks, is
<spanclass=′latex−bold′>(A)</span>fb2<spanclass=′latex−bold′>(B)</span>b/f2<spanclass=′latex−bold′>(C)</span>f2/b<spanclass=′latex−bold′>(D)</span>b2/f<spanclass=′latex−bold′>(E)</span>f/b2<span class='latex-bold'>(A) </span>fb^2\qquad<span class='latex-bold'>(B) </span>b/f^2\qquad<span class='latex-bold'>(C) </span>f^2/b\qquad<span class='latex-bold'>(D) </span>b^2/f\qquad <span class='latex-bold'>(E) </span>f/b^2
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