document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=786580>Question 786580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pat and Jen volunteer at the library. Pat can shelve a full cart of books 12 minutes faster than Jen. If they work together, they can shelve a full cart in 100 minutes. How log does it take Jen to shelve a full cart by herself? (Give an exact answer rounded to the nearest minute)\r<BR>\n" );
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document.write( "I tried making a table where p is the value of pats time represented as \"x\" and j is the value of jens time represented as \"x+12\". I made a table that I would normally use for these kinds of promlems but I keep getting an odd number and I cant seem to figure it out </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477913 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=477913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I don't use tables, but my equations can <BR>\n" );
document.write( "easily be put into a table<BR>\n" );
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document.write( "Add their rates to get rate working together<BR>\n" );
document.write( "Jen's rate: ( 1 cart ) / ( x min )<BR>\n" );
document.write( "Pat's rate: ( 1 cart ) / (  x - 12 min ) <BR>\n" );
document.write( "Together: ( 1 cart ) / ( 100 min )<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fx+%2B+1%2F%28+x-12+%29+=+1%2F100+ ALIGN=MIDDLE  ALT=\"+1%2Fx+%2B+1%2F%28+x-12+%29+=+1%2F100+\"   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=+x%2A%28+x-12+%29%2A100+ ALIGN=MIDDLE  ALT=\"+x%2A%28+x-12+%29%2A100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100%2A%28x-12%29+%2B+x%2A100+=+x%2A%28+x-12+%29+ ALIGN=MIDDLE  ALT=\"+100%2A%28x-12%29+%2B+x%2A100+=+x%2A%28+x-12+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100x+-+1200+%2B+100x+=+x%5E2+-+12x+ ALIGN=MIDDLE  ALT=\"+100x+-+1200+%2B+100x+=+x%5E2+-+12x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+212x+%2B+1200+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+212x+%2B+1200+=+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=+x+=+%28+-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+x+=+%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+=+-212+ ALIGN=MIDDLE  ALT=\"+b+=+-212+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+1200+ ALIGN=MIDDLE  ALT=\"+c+=+1200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+-%28-212%29+%2B-+sqrt%28+%28-212%29%5E2-4%2A1%2A1200+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-%28-212%29+%2B-+sqrt%28+%28-212%29%5E2-4%2A1%2A1200+%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=+x+=+%28+212+%2B-+sqrt%28+44944+-4800+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+212+%2B-+sqrt%28+44944+-4800+%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=+x+=+%28+212+%2B-+sqrt%28+40144+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+212+%2B-+sqrt%28+40144+%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=+x+=+%28+212+%2B+200.36+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+212+%2B+200.36+%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=+x+=+412.36%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+412.36%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+206.18+ ALIGN=MIDDLE  ALT=\"+x+=+206.18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In hours:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+206.18+%2F+60+=+3+%2B+26.18%2F60+ ALIGN=MIDDLE  ALT=\"+206.18+%2F+60+=+3+%2B+26.18%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It would take Jen 3 hrs and 26 min<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=+x+-+12+=+206.18+-+12+ ALIGN=MIDDLE  ALT=\"+x+-+12+=+206.18+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+12+=+194.18+ ALIGN=MIDDLE  ALT=\"+x+-+12+=+194.18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fx+%2B+1%2F%28+x-12+%29+=+1%2F100+ ALIGN=MIDDLE  ALT=\"+1%2Fx+%2B+1%2F%28+x-12+%29+=+1%2F100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F206.18+%2B+1%2F194.18+=+1%2F100+ ALIGN=MIDDLE  ALT=\"+1%2F206.18+%2B+1%2F194.18+=+1%2F100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.00485+%2B+.00515+=+.01+ ALIGN=MIDDLE  ALT=\"+.00485+%2B+.00515+=+.01+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.01+=+.01+ ALIGN=MIDDLE  ALT=\"+.01+=+.01+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );