document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906861>Question 906861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jessie and Mark are planning to paint a house together. Jessie thinks that if he works alone, it would take him 5 hours more than the time Mark takes a paint the entire house. working together, they can complete the job in 6 hours. <BR>\n" );
document.write( "1. what equation represents the situation?<BR>\n" );
document.write( "2. how long would it take Jessie and Mark if each work alone in painting the entire house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550076 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=550076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add their rates of working to get<BR>\n" );
document.write( "their rate working together<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Jessie's rate:<BR>\n" );
document.write( "( 1 house painted ) / ( his time to paint it )<BR>\n" );
document.write( "Mark's rate:<BR>\n" );
document.write( "( 1 house painted ) / ( his time to paint it )<BR>\n" );
document.write( "Working together:<BR>\n" );
document.write( "( 1 house painted ) / ( 6 hrs )<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "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;\" > = Mark's time in hrs to paint house<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+%28+t+%2B+5+%29+%2B+1%2Ft+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+t+%2B+5+%29+%2B+1%2Ft+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%2A%28+t%2B5+%29%2A6+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t%2B5+%29%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t+%2B+6%2A%28+t%2B5+%29+=+t%2A%28+t%2B5+%29+ ALIGN=MIDDLE  ALT=\"+6t+%2B+6%2A%28+t%2B5+%29+=+t%2A%28+t%2B5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t+%2B+6t+%2B+30+=+t%5E2+%2B+5t+ ALIGN=MIDDLE  ALT=\"+6t+%2B+6t+%2B+30+=+t%5E2+%2B+5t+\"   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+-+7t+-+30+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+7t+-+30+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+t+-+10+%29%2A%28+t+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+%28+t+-+10+%29%2A%28+t+%2B+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ( just by looking at it )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+10+ ALIGN=MIDDLE  ALT=\"+t+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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;\" ><BR>\n" );
document.write( "Time can't be negative, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+10+ ALIGN=MIDDLE  ALT=\"+t+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+5+=+15+ ALIGN=MIDDLE  ALT=\"+t+%2B+5+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Jessie would take 15 hrs working alone<BR>\n" );
document.write( "Mark would take 10 hrs working alone<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+%28+t+%2B+5+%29+%2B+1%2Ft+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1+%2F+%28+t+%2B+5+%29+%2B+1%2Ft+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2F+15+%2B+1%2F10+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1+%2F+15+%2B+1%2F10+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F60+%2B+6%2F60+=+10%2F60+ ALIGN=MIDDLE  ALT=\"+4%2F60+%2B+6%2F60+=+10%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2F60+=+10%2F60+ ALIGN=MIDDLE  ALT=\"+10%2F60+=+10%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );