document.write( "Question 1058134: A gardener completes maintenance in 12 hours. Another gardener takes 10 hours. How long will it take both gardeners? \n" ); document.write( "
Algebra.Com's Answer #673152 by ikleyn(52832)\"\" \"About 
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\n" ); document.write( "A gardener completes maintenance in 12 hours. Another gardener takes 10 hours. How long will it take both gardeners?
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document.write( "The rate of the 1-st gardener is \"1%2F12\" job per hour.\r\n" );
document.write( "It means that he does \"1%2F12\" of his job in hour. In each hour.\r\n" );
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document.write( "The rate of the 2-nd gardener is \"1%2F10\" job per hour.\r\n" );
document.write( "It means that he does \"1%2F10\" of his job in hour. In each hour.\r\n" );
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document.write( "When they work together, their rates are added.\r\n" );
document.write( "Together they do \"1%2F12+%2B+1%2F10\" of the entire work per hour.\r\n" );
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document.write( "\"1%2F12+%2B+1%2F10\" = \"10%2F120+%2B+12%2F120\" = \"22%2F120\" of the job per hour.\r\n" );
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document.write( "Hence, they will complete the job in \"120%2F22\" = \"60%2F11\" hours = \"5\" \"5%2F11\" hours.\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.
\n" ); document.write( "     You can solve it using simple logic.
\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( "For a wide variety of similar solved joint-work problems with detailed explanations see the lessons\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
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\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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