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1968 AMC 12 #32 - Moving Speeds

Source:

January 1, 2012
ratioAMC

Problem Statement

AA and BB move uniformly along two straight paths intersecting at right angles in point OO. When AA is at OO, BB is 500500 yards short of OO. In 22 minutes, they are equidistant from OO, and in 88 minutes more they are again equidistant from OO. Then the ratio of A′A's speed to B′B's speed is:
<spanclass=′latex−bold′>(A)</span> 4:5<spanclass=′latex−bold′>(B)</span> 5:6<spanclass=′latex−bold′>(C)</span> 2:3<spanclass=′latex−bold′>(D)</span> 5:8<spanclass=′latex−bold′>(E)</span> 1:2<span class='latex-bold'>(A)</span>\ 4:5 \qquad<span class='latex-bold'>(B)</span>\ 5:6 \qquad<span class='latex-bold'>(C)</span>\ 2:3 \qquad<span class='latex-bold'>(D)</span>\ 5:8 \qquad<span class='latex-bold'>(E)</span>\ 1:2
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