document.write( "Question 1117746: I have two watches with a 12 hour cycle. one gains a minute each day and the other looses one and a half minutes per day. if i set them both on the correct time, how long will it take before next together tell the correct time? (3 marks) \n" ); document.write( "

Algebra.Com's Answer #732897 by ikleyn(52835) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "1.  12 hours = 12 * 60 minutes = 720 minutes.\r\n" );
document.write( "\r\n" );
document.write( "    Therefore, watch A, set once on the correct time, will displays the correct time exactly after every 720 days.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  Also,  12 hours = 720 minutes = 12 * 1.5 minutes *40 = 480 * 1.5 minutes.\r\n" );
document.write( "\r\n" );
document.write( "    Therefore, watch B, set once on the correct time, will displays the correct time exactly after every 480 days.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3.  Hence, the two watches A and B, set once on the correct time simultaneously, will display (will read) the correct time \r\n" );
document.write( "\r\n" );
document.write( "    simultaneously every  LCM(480,720) days = 1440 days.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    LCM = Least Common Multiple.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );