document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=530487>Question 530487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tyrone can paint a kitchen in 7 hours, and Shauna can paint the same kitchen in 6 hours. How long would it take for both working together to paint the kitchen? (you can leave your answer as an improper fraction or a mixed number). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350078 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=350078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tyrone can paint a kitchen in 7 hours, and Shauna can paint the same kitchen in 6 hours. How long would it take for both working together to paint the kitchen?<BR>\n" );
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document.write( "Ty rate: 1/7 job/hr<BR>\n" );
document.write( "Sh rate: 1/6 job/hr<BR>\n" );
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document.write( "Together rate: 1/x job/hr<BR>\n" );
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document.write( "Equation: <BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/7 + 1/6 = 1/x<BR>\n" );
document.write( "Multiply thru by 42x to get:<BR>\n" );
document.write( "6x + 7x = 42<BR>\n" );
document.write( "13x = 42<BR>\n" );
document.write( "x = 42/13 = 3 3/13 hr = 3 hr 14 minutes<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );