document.write( "Question 1188079: When the minute hand is seven minutes behind the hour hand, what time is it between 5 and 6 o'clock? \n" ); document.write( "
Algebra.Com's Answer #819151 by Edwin McCravy(20055)\"\" \"About 
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document.write( "There are 60 minute graduations around the 360 degree clock face, so the minute\r\n" );
document.write( "graduations are 6 degrees apart.  \r\n" );
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document.write( "Therefore, when the minute hand is 7 minute graduations behind the hour hand,\r\n" );
document.write( "the angle between the hands is 7 times 6 degrees or 42 degrees.\r\n" );
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document.write( "The numerals are 30 degrees apart.  Therefore at 5:00 the hands are 5x30 = 150\r\n" );
document.write( "degrees apart.\r\n" );
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document.write( "The minute hand travels 360 degrees per hour, which is 6 degrees per minute.\r\n" );
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document.write( "The hour hand travels 360 degrees per 12 hours, which is 30 degrees per hour, or\r\n" );
document.write( "0.5 degrees per minute.\r\n" );
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document.write( "So the angle between the hands is either increasing at 6.0-0.5 = 5.5 degrees per\r\n" );
document.write( "minute or decreasing at 5.5 degrees per minute.\r\n" );
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document.write( "At 5:00 the angle between the hands is 150 degrees, and is decreasing at 5.5\r\n" );
document.write( "degrees per minute.  So the angle between the hands must decrease from 150\r\n" );
document.write( "degrees to 42 degrees, which is a decrease of 150-42=108 degrees. So since the\r\n" );
document.write( "angle between the hands is decreasing at the rate of 5.5 degrees per minute,\r\n" );
document.write( "that will take it 108/5.5 minutes to decrease to 42 degrees.  108/5.5 = 1080/55\r\n" );
document.write( "= 216/11 = 19 7/11 minutes, so the minute hand will be seven minutes behind the\r\n" );
document.write( "hour hand at 5:19 7/11.\r\n" );
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document.write( "Edwin
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