document.write( "Question 1058038: Jack and Jill together can do a piece of work in 3 days.
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Algebra.Com's Answer #673151 by ikleyn(52879) $\"\"$ $\"About$

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document.write( "Since \"Jack and Jill together can do a piece of work in 3 days\", they do  of the job working together.\r\n" );
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document.write( "The next phrase of the condition says:\r\n" );
document.write( "    \"They can finish the work if Jack works for 2 days and Jill works for 4 days.\"\r\n" );
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document.write( "You can re-phrase it in this equivalent way:\r\n" );
document.write( "    They can finish the work if Jack and Jill work together for 2 days and then Jill works for additional 2 days.\r\n" );
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document.write( "OK, very good.\r\n" );
document.write( "But then, working 2 days together, Jack and Jill will do  of the job.\r\n" );
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document.write( "It means that Jill can complete the remaining  of the job in two days.\r\n" );
document.write( "Hence, Jill can complete the entire job in 6 days.\r\n" );
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document.write( "    Half of the problem is just solved. Now we can easily complete the rest, too.\r\n" );
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document.write( "Since Jill does the entire job in 6 days, in three days she makes  of the job.\r\n" );
document.write( "It means that in 3 day Jack makes the remaining  of the job.\r\n" );
document.write( "In turn, it means that Jack can do the entire work in 6 days.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The lesson to learn from this solution: \r
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\n" ); document.write( "\n" ); document.write( "     There is no need to solve equations.
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\n" ); document.write( "     You also are supposed to operate freely with fractions. That's all.\r
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\n" ); document.write( "\n" ); document.write( "     Simple logic and fractions.\r
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\n" ); document.write( "There is a bunch of lessons on similar joint-work problems with detailed explanations \r
\n" ); document.write( "\n" ); document.write( "    - Using Fractions to solve word problems on joint work,\r
\n" ); document.write( "\n" ); document.write( "    - Solving more complicated word problems on joint work,\r
\n" ); document.write( "\n" ); document.write( "    - Selected joint-work word problems from the archive \r
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\n" ); document.write( "\n" ); document.write( "Read them and get be trained in solving joint-work 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
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Rate of work and joint work problems\" of the section \"Word problems\".\r
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