document.write( "Question 1111318: Team A can fix a car 6 hours faster than Team B. If two teams work together, they can fix a car in 4 hours. How long will it take each team, working separately, to fix a car?\r
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Algebra.Com's Answer #726307 by ikleyn(52847) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let t be the time for the slower team.\r\n" );
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document.write( "Then time for the faster team is (t-6).\r\n" );
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document.write( "The \"combined rate\" equation is\r\n" );
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document.write( " +  = .\r\n" );
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document.write( "4*(t-6) + 4t = t*(t-6)\r\n" );
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document.write( "t^2 - 14t + 24 = 0\r\n" );
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document.write( "(t-12)*(t-2) = 0.\r\n" );
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document.write( "There are two roots,  t = 12  and t = 2.\r\n" );
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document.write( "But t-6 must be positive, and it leaves ONLY one root t= 12 hours for the slower team.\r\n" );
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document.write( "Then for the faster team time is  12-6 = 6 hours.\r\n" );
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document.write( "Check.   +  =  =  = .  ! Correct !.\r\n" );
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\n" ); document.write( "It is a 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
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\n" ); document.write( "\n" ); document.write( "    - Selected joint-work word problems from the archive \r
\n" ); document.write( "\n" ); document.write( "    - Using quadratic equations to solve word problems on joint work (*)\r
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\n" ); document.write( "\n" ); document.write( "Read them and get be trained in solving joint-work problems.
\n" ); document.write( "Pay special attention to the lesson marked (*) in the list.\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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