document.write( "Question 1123241: If Team A and Team B work together, they can finish a project in 6 days. Team A is twice as efficient as Team B. How long does it take for each team to finish the project individually. \n" ); document.write( "

Algebra.Com's Answer #739532 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "1. Algebra solution\r
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document.write( "Let R be rate of work of the team B.  (= the part of job the team B complete dayli).\r\n" );
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document.write( "Then the rate of work of the team A is twice of it, i.e. 2R\r\n" );
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document.write( "From the condition, we have \r\n" );
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document.write( "    2R + R =      <<<---=== it is exactly what the condition says about two reams A and B working together.\r\n" );
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document.write( "This equation is  3R = ,  or, equivalently,  R =  = ,  which exactly means that the team B will complete the job in 18 days.\r\n" );
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document.write( "Then you may conclude that the team A will complete the job in 18/2 = 9 days.\r\n" );
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\n" ); document.write( "\n" ); document.write( "2. Logic solution\r
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document.write( "Team A works as two teams B.\r\n" );
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document.write( "Since A + B  complete the job in 6 days, it means that three teams B working together will complete the job in 6 days.\r\n" );
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document.write( "Hence, one single team B will complete the job in 3*6 = 18 days working alone.\r\n" );
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document.write( "Then the Team A will complete it in 9 days working alone.\r\n" );
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document.write( "Check.   +  =  =  = .   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved mentally, without using equations.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical joint work problem.\r
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\n" ); document.write( "\n" ); document.write( "There is a wide variety of similar solved joint-work problems with detailed explanations in this site. 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
\n" ); document.write( "\"Rate of work and joint work problems\" of the section \"Word problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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