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Difference between revisions of "1950 AHSME Problems/Problem 50"

(Created page with "==Problem== A privateer discovers a merchantman <math>10</math> miles to leeward at 11:45 a.m. and with a good breeze bears down upon her at <math>11</math> mph, while the merch...")
(No difference)

Revision as of 13:45, 18 January 2012

Problem

A privateer discovers a merchantman $10$ miles to leeward at 11:45 a.m. and with a good breeze bears down upon her at $11$ mph, while the merchantman can only make $8$ mph in her attempt to escape. After a two hour chase, the top sail of the privateer is carried away; she can now make only $17$ miles while the merchantman makes $15$. The privateer will overtake the merchantman at:

$\textbf{(A)}\ 3\text{:}45\text{ p.m.} \qquad \textbf{(B)}\ 3\text{:}30\text{ p.m.} \qquad \textbf{(C)}\ 5\text{:}00\text{ p.m.} \qquad \textbf{(D)}\ 2\text{:}45\text{ p.m.} \qquad \textbf{(E)}\ 5\text{:}30\text{ p.m.}$

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