document.write( "Question 1142678: Christina can paint a chair in 3 hours, and Victoria can paint a chair in 5 hours. How many hours will it take to paint the chair when the two girls work together? Write an equation that could be used to model this problem. Let t represent the time (in hours) that it will take to paint the chair when the two girls work together \n" ); document.write( "

Algebra.Com's Answer #763388 by ikleyn(52852) $\"\"$ $\"About$

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document.write( "Since Christina can make the entire job in 3 hours, working alone, she makes    of the job per hour.\r\n" );
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document.write( "Since Victoria can make the entire job in 5 hours, working alone, she makes    of the job per hour.\r\n" );
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document.write( "Working together, the two girls make   +  of the job per hour.\r\n" );
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document.write( "Let  t be the time (in hours) for the two girls to complete the job, working together.\r\n" );
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document.write( "Then they make    part of the job per hour.\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( "     +  = .\r\n" );
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document.write( "At this point the setup is completed: the equation is constructed, and your next step is to solve it.\r\n" );
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document.write( "For it, multiply both sides by 15t = 3*5*t to rid off the denominators. You will get\r\n" );
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document.write( "    5t + 3t = 15.\r\n" );
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document.write( "Simplify and solve for t :\r\n" );
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document.write( "    8t = 15,\r\n" );
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document.write( "    t = 15/8 =  hours = 1 hour and 52.5 minutes.    ANSWER\r\n" );
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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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