document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499035>Question 499035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the following problem, define a variable, write and solve an equation, and answer the question: Pat takes 10 minutes longer than Mike to wash the car. Working together, they can wash the car in 12 minutes. How long will it take mike to do it alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337316 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=337316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In work problems like this, you add rates of<BR>\n" );
document.write( "working to get the rate working together<BR>\n" );
document.write( "Let Mike's rate = ( 1 car ) / ( m minutes ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fm+ ALIGN=MIDDLE  ALT=\"+1%2Fm+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Pat's rate = ( 1 car ) / ( m + 10 min ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%28+m+%2B+10%29+ ALIGN=MIDDLE  ALT=\"+1%2F%28+m+%2B+10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Their rate working together = ( 1 car ) / ( 12 min ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fm+%2B+1%2F%28+m+%2B+10+%29+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2Fm+%2B+1%2F%28+m+%2B+10+%29+=+1%2F12+\"   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=+12%2Am%2A%28+m+%2B+10+%29+ ALIGN=MIDDLE  ALT=\"+12%2Am%2A%28+m+%2B+10+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2A%28+m+%2B+10+%29+%2B+12m+=+m%2A%28+m+%2B+10+%29+ ALIGN=MIDDLE  ALT=\"+12%2A%28+m+%2B+10+%29+%2B+12m+=+m%2A%28+m+%2B+10+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12m+%2B+120+%2B+12m+=+m%5E2+%2B+10m+ ALIGN=MIDDLE  ALT=\"+12m+%2B+120+%2B+12m+=+m%5E2+%2B+10m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5E2+-+14m+-+120+=+0+ ALIGN=MIDDLE  ALT=\"+m%5E2+-+14m+-+120+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll use the quadratic formula <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"m+=+%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+=+-14+ ALIGN=MIDDLE  ALT=\"+b+=+-14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-120+ ALIGN=MIDDLE  ALT=\"+c+=+-120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28+-%28-14%29+%2B-+sqrt%28+%28-14%29%5E2+-+4%2A1%2A%28-120%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"m+=+%28+-%28-14%29+%2B-+sqrt%28+%28-14%29%5E2+-+4%2A1%2A%28-120%29+%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=m+=+%28+14+%2B-+sqrt%28+196+%2B+480+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"m+=+%28+14+%2B-+sqrt%28+196+%2B+480+%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=m+=+%28+14+%2B-+sqrt%28+676+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"m+=+%28+14+%2B-+sqrt%28+676+%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=+m+=+%28+14+%2B+26+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+m+=+%28+14+%2B+26+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( ignore negative root )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+20+ ALIGN=MIDDLE  ALT=\"+m+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It takes Mike 20 min working alone<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fm+%2B+1%2F%28+m+%2B+10+%29+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2Fm+%2B+1%2F%28+m+%2B+10+%29+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+%2B+1%2F%28+20+%2B+10+%29+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2F%28+20+%2B+10+%29+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+%2B+1%2F30+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2F30+=+1%2F12+\"   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=60 ALIGN=MIDDLE  ALT=\"60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2B+2+=+5+ ALIGN=MIDDLE  ALT=\"+3+%2B+2+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );