document.write( "Question 1186013: Sam and Justin together can do a work in 2 days. If they had to work separately, the time taken by Justin to do the work would be more than that of Sam by 3 days. In how many days cam Justin do the work alone? (Applying quadratic equations) \n" ); document.write( "
Algebra.Com's Answer #816906 by ikleyn(52800)\"\" \"About 
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\n" ); document.write( "Sam and Justin together can do a work in 2 days.
\n" ); document.write( "If they had to work separately, the time taken by Justin to do the work would be more than that of Sam by 3 days.
\n" ); document.write( "In how many days cam Justin do the work alone? (Applying quadratic equations)
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document.write( "Sam = x days\r\n" );
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document.write( "Justin = (x+3) days.\r\n" );
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document.write( "The combined rate equation is\r\n" );
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document.write( "    \"1%2Fx\" + \"1%2F%28x%2B3%29\" = \"1%2F2\".\r\n" );
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document.write( "The solution can be easily guessed MENTALLY:  x = 3 days.\r\n" );
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document.write( "ANSWER.  Sam can complete this job in 3 days, working alone.\r\n" );
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document.write( "         Justin can complete this job in 3+3 = 6 days, working alone.\r\n" );
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document.write( "CHECK.  \"1%2F3\" + \"1%2F%283%2B3%29\" = \"1%2F3+%2B+1%2F6\" = \"2%2F6+%2B+1%2F6\" = \"3%2F6\" = \"1%2F2\".    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Alternatively,  you can reduce equation  (1)  to the standard quadratic equation form
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\n" ); document.write( "\n" ); document.write( "To see other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Using quadratic equations to solve word problems on joint work \r
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