document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982238>Question 982238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pete can do a piece of work in 6 hours less time than Rick. Together, they can do the work in 9 hours and 12 minutes. How long will each take while working alone?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603093 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=603093\">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+%7C ALIGN=MIDDLE  ALT=\"+t+%7C\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Rick's time to finish work alone in hours<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+6+ ALIGN=MIDDLE  ALT=\"+t+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Pete's time to finish work aone in hours<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Rick's rate of working:<BR>\n" );
document.write( "[ 1 job finished ] / [ t hrs ]<BR>\n" );
document.write( "Pete's rate of working:<BR>\n" );
document.write( "[ 1 job finished ] / [ t - 6 ]<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Convert 12 min to hrs:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2F60+=+.2+ ALIGN=MIDDLE  ALT=\"+12%2F60+=+.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "Add their rates of working to get<BR>\n" );
document.write( "their rate working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t-6+%29+=+1%2F9.2+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-6+%29+=+1%2F9.2+\"   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=+9.2%2At%2A%28+t-6+%29+ ALIGN=MIDDLE  ALT=\"+9.2%2At%2A%28+t-6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9.2%2A%28+t-6+%29+%2B+9.2t+=+t%2A%28+t-6+%29+ ALIGN=MIDDLE  ALT=\"+9.2%2A%28+t-6+%29+%2B+9.2t+=+t%2A%28+t-6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9.2t+-+55.2+%2B+9.2t+=+t%5E2+-+6t+ ALIGN=MIDDLE  ALT=\"+9.2t+-+55.2+%2B+9.2t+=+t%5E2+-+6t+\"   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+-+18.4t+-+6t+%2B+55.2+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+18.4t+-+6t+%2B+55.2+=+0+\"   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+-+24.4t+%2B+55.2+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+24.4t+%2B+55.2+=+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+=+-24.4+ ALIGN=MIDDLE  ALT=\"+b+=+-24.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+55.2+ ALIGN=MIDDLE  ALT=\"+c+=+55.2+\"   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+-%28-24.4%29+%2B-+sqrt%28+%28-24.4%29%5E2+-+4%2A1%2A55.2+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-%28-24.4%29+%2B-+sqrt%28+%28-24.4%29%5E2+-+4%2A1%2A55.2+%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+24.4+%2B-+sqrt%28+595.36+-+220.8+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+24.4+%2B-+sqrt%28+595.36+-+220.8+%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+24.4+%2B-+sqrt%28+374.56+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+24.4+%2B-+sqrt%28+374.56+%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+24.4+%2B+19.354+%29%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+24.4+%2B+19.354+%29%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+=+43.754%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+43.754%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+=+21.877+ ALIGN=MIDDLE  ALT=\"+t+=+21.877+\"   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+-+6+=+15.877+ ALIGN=MIDDLE  ALT=\"+t+-+6+=+15.877+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Rick takes 21.877 hrs working aloine<BR>\n" );
document.write( "Pete takes 15.877 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%2Ft+%2B+1%2F%28+t-6+%29+=+1%2F9.2+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-6+%29+=+1%2F9.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F21.877+%2B+1%2F15.877+=+1%2F9.2+ ALIGN=MIDDLE  ALT=\"+1%2F21.877+%2B+1%2F15.877+=+1%2F9.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.04571+%2B+.06298+=+.1087+ ALIGN=MIDDLE  ALT=\"+.04571+%2B+.06298+=+.1087+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.10869+=+.1087+ ALIGN=MIDDLE  ALT=\"+.10869+=+.1087+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "close enough<BR>\n" );
document.write( "Hope I got it!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );