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Find the exact time

Source: 1970 AHSME Problem 29

April 16, 2014
AMC

Problem Statement

It is now between 10:0010:00 and 11:0011:00 o'clock, and six minutes form now, the minute hand of the watch will be exactly opposite the place where the hour hand was three minutes ago. What is the exact time now?
<spanclass=latexbold>(A)</span>10:05511<spanclass=latexbold>(B)</span>10:0712<spanclass=latexbold>(C)</span>10:10<spanclass=latexbold>(D)</span>10:15<span class='latex-bold'>(A) </span>10:05\dfrac{5}{11}\qquad<span class='latex-bold'>(B) </span>10:07\dfrac{1}{2}\qquad<span class='latex-bold'>(C) </span>10:10\qquad<span class='latex-bold'>(D) </span>10:15\qquad
<spanclass=latexbold>(E)</span>10:1712<span class='latex-bold'>(E) </span>10:17\dfrac{1}{2}