document.write( "Question 1098484: 3 clocks, hour hands are missing, have minute hands running fast.\r
\n" ); document.write( "\n" ); document.write( "Clock P, Q, R gain 2, 6, 12 mins per hour respectively.\r
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\n" ); document.write( "\n" ); document.write( "Find the number of hours later when all 3 hands show the same number of minutes. \n" ); document.write( "
Algebra.Com's Answer #712887 by ikleyn(52776)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "My previous solution was  WRONG.   So, I took it out.\r
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\n" ); document.write( "\n" ); document.write( "Below find the correct solution   // (I came to it after seeing the tutor's  @ankor@dixie-net.com  solution,  which is absolutely correct).
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document.write( "1.  The readings difference between clocks Q and P has the rate of 4 min per hour.\r\n" );
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document.write( "    It means that their readings will coincide every 15 hours, when their minute hands are at the same positions  \"verically up\".\r\n" );
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document.write( "    It happens every 15 hours, and there is no other time moments, when their positions coincide.\r\n" );
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document.write( "2.  The readings difference between clocks R and P has the rate of 10 min per hour.\r\n" );
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document.write( "    It means that their readings will coincide every 6 hours, when their minute hands are at the same positions  \"verically up\".\r\n" );
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document.write( "    It happens every 6 hours, and there is no other time moments, when their positions coincide.\r\n" );
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document.write( "3.  The readings difference between clocks Q and R has the rate of 6 min per hour.\r\n" );
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document.write( "    It means that their readings will coincide every 10 hours, when their minute hands are at the same positions  \"verically up\".\r\n" );
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document.write( "    It happens every 10 hours, and there is no other time moments, when their positions coincide.\r\n" );
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document.write( "4.  It implies that the next and closest time moment when the readings of all 3 clock coincide comes in  LCM (15,6,10) which is 30 hours.\r\n" );
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document.write( "    LCM is \"Leatt Common Multiple).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer.   In  30  hours.\r
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\n" ); document.write( "\n" ); document.write( "Again:  the answer by the tutor  @ankor@dixie-net.com  solution is absolutely correct.\r
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