document.write( "Question 246069: From 12:01 am on one day to 11:59 pm the same day, how many times do the hour and minute hands cross? \n" ); document.write( "

Algebra.Com's Answer #179737 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
It's a little counter-intuitive, but the answer is 21.\r
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\n" ); document.write( "\n" ); document.write( "I looked at it from a real clock and wound it around manually.\r
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\n" ); document.write( "\n" ); document.write( "Here's what I think is happening.\r
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\n" ); document.write( "\n" ); document.write( "It crosses the hour hand roughly at the following times:\r
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document.write( "crossing  crossing time\r\n" );
document.write( "1            1:06\r\n" );
document.write( "2            2:11\r\n" );
document.write( "3            3:17\r\n" );
document.write( "4            4:22\r\n" );
document.write( "5            5:27\r\n" );
document.write( "6            6:33\r\n" );
document.write( "7            7:38\r\n" );
document.write( "8            8:43\r\n" );
document.write( "9            9:49\r\n" );
document.write( "10           10:54\r\n" );
document.write( "11           12:00\r\n" );
document.write( "12           1:06\r\n" );
document.write( "13           2:11\r\n" );
document.write( "14           3:17\r\n" );
document.write( "15           4:22\r\n" );
document.write( "16           5:27\r\n" );
document.write( "17           6:33\r\n" );
document.write( "18           7:38\r\n" );
document.write( "19           8:43\r\n" );
document.write( "20           9:49\r\n" );
document.write( "21           10:54\r\n" );
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\n" ); document.write( "\n" ); document.write( "That's 21 crossings.\r
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