document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031853>Question 1031853</A>: <I><SPAN STYLE=\"word-break: break-all;\">  working alone, Carrie can paint a house in three hours less than water. Together Carrie and Walter can paint to house in  eight hours. How long does it take Walter to paint a house alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646545 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Walter's time in hrs to paint<BR>\n" );
document.write( "a house working alone<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+3+ ALIGN=MIDDLE  ALT=\"+t+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Carrie's time in hrs to paint<BR>\n" );
document.write( "a house working alone<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Walter's rate of painting working alone:<BR>\n" );
document.write( "[ 1 house painted ] / [ t hrs ]<BR>\n" );
document.write( "Carrie's rate of painting working alone:<BR>\n" );
document.write( "[ 1 house painted ] / [ t - 3 hrs ]<BR>\n" );
document.write( "Their rate painting together:<BR>\n" );
document.write( "[ 1 house painted ] / [ 8 hrs ]<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Add their rates of painting to get their<BR>\n" );
document.write( "rate painting together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+t+%2B+1+%2F+%28+t-3+%29+=+1%2F8+ ALIGN=MIDDLE  ALT=\"+1+%2F+t+%2B+1+%2F+%28+t-3+%29+=+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2At%2A%28+t-3+%29+ ALIGN=MIDDLE  ALT=\"+8%2At%2A%28+t-3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2A%28+t-3+%29+%2B+8t+=+t%2A%28+t-3+%29+ ALIGN=MIDDLE  ALT=\"+8%2A%28+t-3+%29+%2B+8t+=+t%2A%28+t-3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8t+-+24+%2B+8t+=+t%5E2+-+3t+ ALIGN=MIDDLE  ALT=\"+8t+-+24+%2B+8t+=+t%5E2+-+3t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+19t+%2B+24+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+19t+%2B+24+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-19+ ALIGN=MIDDLE  ALT=\"+b+=+-19+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+24+ ALIGN=MIDDLE  ALT=\"+c+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-%28-19%29+%2B-+sqrt%28+%28-19%29%5E2+-+4%2A1%2A24+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-%28-19%29+%2B-+sqrt%28+%28-19%29%5E2+-+4%2A1%2A24+%29%29+%2F+%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+19+%2B-+sqrt%28+361+-+96+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+19+%2B-+sqrt%28+361+-+96+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+19+%2B-+sqrt%28+265+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+19+%2B-+sqrt%28+265+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+19+%2B+16.279+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+19+%2B+16.279+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+35.279%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+35.279%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+17.64+ ALIGN=MIDDLE  ALT=\"+t+=+17.64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+3+=+14.64+ ALIGN=MIDDLE  ALT=\"+t+-+3+=+14.64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Walter can paint a house alone in 17.64<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+t+%2B+1+%2F+%28+t-3+%29+=+1%2F8+ ALIGN=MIDDLE  ALT=\"+1+%2F+t+%2B+1+%2F+%28+t-3+%29+=+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F17.64+%2B+1%2F14.64+=+1%2F8+ ALIGN=MIDDLE  ALT=\"+1%2F17.64+%2B+1%2F14.64+=+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0567+%2B+.0683+=+.125+ ALIGN=MIDDLE  ALT=\"+.0567+%2B+.0683+=+.125+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.125+=+.125+ ALIGN=MIDDLE  ALT=\"+.125+=+.125+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );