MathDB
River current

Source: 1971 AHSME Problem 18

April 20, 2014
ratioquadraticsAMC

Problem Statement

The current in a river is flowing steadily at 33 miles per hour. A motor boat which travels at a constant rate in still water goes downstream 44 miles and then returns to its starting point. The trip takes one hour, excluding the time spent in turning the boat around. The ratio of the downstream to the upstream rate is
<spanclass=latexbold>(A)</span>4:3<spanclass=latexbold>(B)</span>3:2<spanclass=latexbold>(C)</span>5:3<spanclass=latexbold>(D)</span>2:1<spanclass=latexbold>(E)</span>5:2<span class='latex-bold'>(A) </span>4:3\qquad<span class='latex-bold'>(B) </span>3:2\qquad<span class='latex-bold'>(C) </span>5:3\qquad<span class='latex-bold'>(D) </span>2:1\qquad <span class='latex-bold'>(E) </span>5:2