MathDB
Angle Measure on a Clock

Source:

March 3, 2010

Problem Statement

A man on his way to dinner short after 6:00 6: 00 p.m. observes that the hands of his watch form an angle of 110. 110^{\circ}. Returning before 7:00 7: 00 p.m. he notices that again the hands of his watch form an angle of 110. 110^{\circ}. The number of minutes that he has been away is: <spanclass=latexbold>(A)</span> 3623<spanclass=latexbold>(B)</span> 40<spanclass=latexbold>(C)</span> 42<spanclass=latexbold>(D)</span> 42.4<spanclass=latexbold>(E)</span> 45 <span class='latex-bold'>(A)</span>\ 36 \frac23 \qquad <span class='latex-bold'>(B)</span>\ 40 \qquad <span class='latex-bold'>(C)</span>\ 42 \qquad <span class='latex-bold'>(D)</span>\ 42.4 \qquad <span class='latex-bold'>(E)</span>\ 45