document.write( "Question 89633: What time after 3 o'clock will the hands of the clock are together for the first time? \n" ); document.write( "
Algebra.Com's Answer #65135 by ankor@dixie-net.com(22740)\"\" \"About 
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What time after 3 o'clock will the hands of the clock are together for the first time?
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\n" ); document.write( "Let x = minute hand position when this occurs
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\n" ); document.write( "Minutes hand; 60 min = 360 degrees
\n" ); document.write( "Hour hand; 1 hr = 360/12 = 30 degrees
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\n" ); document.write( "Min: x/60 * 360 = 6x
\n" ); document.write( "Hr: x/60 * 30 = .5x
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\n" ); document.write( "Since it's after 3, we have to add 3 * 30 = 90 degrees to the hr angle
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\n" ); document.write( "hr hand position = .5x + 90
\n" ); document.write( "minute hand position = 6x
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\n" ); document.write( "6x = .5x + 90
\n" ); document.write( "6x-.5x = 90
\n" ); document.write( "5.5x = 90
\n" ); document.write( "x = 90/5.5
\n" ); document.write( "x = 16.36 min or 3 hr 16 min 22 sec \n" ); document.write( "
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