document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89769>Question 89769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A&B working together can finish painting the house in six days. A, working alone, can finish it in five days less than B. How long will it take each of them to finish the work alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65286 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=65286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A&B working together can finish painting the house in six days. A, working alone, can finish it in five days less than B. How long will it take each of them to finish the work alone?<BR>\n" );
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document.write( "Let x = A's time alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+5) = B's time alone<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx ALIGN=MIDDLE  ALT=\"6%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"6%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "multiply x(x+5) to get rid of the denominators<BR>\n" );
document.write( "6(x+5) + 6x = x(x+5)<BR>\n" );
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document.write( "6x + 30 + 6x = x^2 + 5x<BR>\n" );
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document.write( "12x + 30 = x^2 + 5x<BR>\n" );
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document.write( "A quadratic equation:<BR>\n" );
document.write( "x^2 + 5x - 12x - 30 = 0<BR>\n" );
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document.write( "x^2 - 7x - 30 = 0<BR>\n" );
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document.write( "(x - 10)(x + 3) = 0<BR>\n" );
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document.write( "x = 10 days, A alone (only solution that makes sense)<BR>\n" );
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document.write( "B = (x+5) = 15 days alone<BR>\n" );
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document.write( "Check our solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F10 ALIGN=MIDDLE  ALT=\"6%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F15 ALIGN=MIDDLE  ALT=\"6%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1  </SPAN>\n" );
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