document.write( "Question 1091616: It is now between 9am and 10 o'clock am. In 4 minutes, the hour hand of a clock will be directly opposite the position occupied by the minute hand 3 minutes ago. What time is it? \n" ); document.write( "

Algebra.Com's Answer #706053 by ikleyn(52832) $\"\"$ $\"About$

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document.write( "Let the current time under the question be 9 hours and \"t\" minutes, where t is the real number, so t can be fraction of minutes and seconds.\r\n" );
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document.write( "The minute hand is at angular position  of    radians, counting from it vertical position at 9:00 am.\r\n" );
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document.write( "     *** Minute hand makes its full revolution of   radians in 60 minutes. ***\r\n" );
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document.write( "The hour hand at this moment is at the angular position   radians, counting from its vertical position at midnight.\r\n" );
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document.write( "     *** Hour hand has the angular velocity 12 times less than the minute hand: it is 12 times slower. ***\r\n" );
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document.write( "Three minutes ago the minute hand was in position of    radians.\r\n" );
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document.write( "In four minutes the hour hand will be in position of   radians.\r\n" );
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document.write( "Therefore, the governing equation is \r\n" );
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document.write( " = .\r\n" );
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document.write( "          The major part is done: the equation/the model is set up.\r\n" );
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document.write( "          The rest is just arithmetic. \r\n" );
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document.write( "As the first step, cancel  in both sides and multiply by 60 both sides. You will get\r\n" );
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document.write( "t - 3 =   ====>\r\n" );
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document.write( " =   ====>   =   =   = {{55/3}}}  ====>\r\n" );
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document.write( "t = . = 20 minutes\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. The current time is 9:20 am.\r
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\n" ); document.write( "\n" ); document.write( "To get familiar with the subject, see the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Clock problems \r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic
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