document.write( "Question 939418: what is the time between 2 and 3 o'clock when the hands of the clock form an angle 204 degrees with each other. find time between 2 and 3. \n" ); document.write( "
Algebra.Com's Answer #572424 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
The other tutor's answer is correct.  I'll use a\r\n" );
document.write( "slightly different approach and a little more detail.\r\n" );
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document.write( "Minute hand's rate=          |  Hour hand's rate=     \r\n" );
document.write( "360 degrees per 1 hour=      | 360 degrees per 12 hours= \r\n" );
document.write( "360 degrees per 60 minutes=  |  30 degrees per 1 hour= \r\n" );
document.write( "6 degrees per minutes        |  30 degrees per 60 minutes=\r\n" );
document.write( "                             | 1/2 degree per minute\r\n" );
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document.write( "At 2:00 the minute hand is straight up which is 60 degrees \r\n" );
document.write( "behind the hour hand, which is pointing at the numeral 2.\r\n" );
document.write( "So the minute hand mst catch up to the hour hand and pass it\r\n" );
document.write( "until it is by 204 degrees ahead of the hour hand.\r\n" );
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document.write( "Let the answer be x minutes after 2:00\r\n" );
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document.write( "In x minutes the hour hand has turned through (1/2)x degrees.\r\n" );
document.write( "In those x minutes the minute hand has turned through 6x degrees \r\n" );
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document.write( "To be 240 degrees ahead of the hour hand in x minutes, the minute\r\n" );
document.write( "hand must have turned through these angles:\r\n" );
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document.write( "1. the number of degrees it was behind the hour hand at 2:00, which\r\n" );
document.write( "   is 60 degrees.\r\n" );
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document.write( "plus\r\n" );
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document.write( "2. the number of degrees which the hour hand has turned through in \r\n" );
document.write( "   x minutes since 2:00, which is (1/2)x degrees.\r\n" );
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document.write( "plus\r\n" );
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document.write( "3. 204 more degrees, in order to be that many degrees ahead of the \r\n" );
document.write( "   hour hand. \r\n" );
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document.write( "That must total up to the number of degrees the minute hand has turned,\r\n" );
document.write( "which is 6x degrees.\r\n" );
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document.write( "So the equation is\r\n" );
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document.write( "         60 + (1/2)x + 204 = 6x\r\n" );
document.write( "              (1/2)x + 264 = 6x\r\n" );
document.write( "Multiply through by 2\r\n" );
document.write( "                   x + 528 = 12x\r\n" );
document.write( "                       528 = 11x\r\n" );
document.write( "                        48 = x\r\n" );
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document.write( "So the answer is 2:48.\r\n" );
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document.write( "Edwin
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