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document.write( "Anna can do a piece of work in 12 days. Beth can do the same work in 15 days. Charles can also do the same piece of work in 30 days. Anna starts the work and Beth joins her after 3 days. 3 days before the work is completed Anna leaves and Charles joins the work. In how many days will the work be completed?
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document.write( "Anna can do the work in 12 days, or 
of work in 1 day\r\n" );
document.write( "Beth can do the work in 15 days, or 
of work in 1 day\r\n" );
document.write( "Charles can do the work in 30 days, or 
of work in 1 day\r\n" );
document.write( "\r\n" );
document.write( "We already know that Anna worked 3 days, alone, and that Beth and Charles worked 3 days, together.\r\n" );
document.write( "Therefore, we just need to know how many days Anna and Beth worked together.\r\n" );
document.write( "\r\n" );
document.write( "Let number of days Anna and Beth worked together, be T\r\n" );
document.write( "We then get: 
\r\n" );
document.write( "
\r\n" );
document.write( "15 + 5T + 4T + 12 + 6 = 60 -------- Multiplying by LCD, 60\r\n" );
document.write( "5T + 4T + 15 + 12 + 6 = 60\r\n" );
document.write( "9T + 33 = 60\r\n" );
document.write( "9T = 27\r\n" );
document.write( "Time Anna and Beth worked together, or 
\r\n" );
document.write( "\r\n" );
document.write( "Days needed to complete job: 
\r\n" );
document.write( "That’s ALL!!\r\n" );
document.write( "\r\n" );
document.write( "You can do the check, and if you do, you'll see that the entire job takes 9 days, not 10 as the other person states. \r\n" );
document.write( "Plus, his method is very time-consuming and complex - doesn't have to be - and most likely contain errors.
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document.write( "![\"\"](\"/images/stars/stars-13.gif\")
