1962 AHSME Problems/Problem 13

Problem

$R$ varies directly as $S$ and inverse as $T$ . When $R = \frac{4}{3}$ and $T = \frac {9}{14}$ , $S = \frac37$ . Find $S$ when $R = \sqrt {48}$ and $T = \sqrt {75}$ .

$\textbf{(A)}\ 28\qquad\textbf{(B)}\ 30\qquad\textbf{(C)}\ 40\qquad\textbf{(D)}\ 42\qquad\textbf{(E)}\ 60$

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1962 AHSME Problems/Problem 13

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Solution