MathDB

13

Part of 1962 AMC 12/AHSME

Problems(1)

Direct and Inverse Variance

Source:

3/3/2010
R R varies directly as S S and inverse as T T. When R \equal{} \frac43 and T \equal{} \frac {9}{14}, S \equal{} \frac37. Find S S when R \equal{} \sqrt {48} and T \equal{} \sqrt {75}. <spanclass=′latex−bold′>(A)</span> 28<spanclass=′latex−bold′>(B)</span> 30<spanclass=′latex−bold′>(C)</span> 40<spanclass=′latex−bold′>(D)</span> 42<spanclass=′latex−bold′>(E)</span> 60 <span class='latex-bold'>(A)</span>\ 28 \qquad <span class='latex-bold'>(B)</span>\ 30 \qquad <span class='latex-bold'>(C)</span>\ 40 \qquad <span class='latex-bold'>(D)</span>\ 42 \qquad <span class='latex-bold'>(E)</span>\ 60