document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588034>Question 588034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes person A 4 hours less than person B to complete a certain task. Working together, both can complete the task in 8/3hours. How long does it take each person to complete the task 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 #374346 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=374346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add their rates of working to get their<BR>\n" );
document.write( "rate working together<BR>\n" );
document.write( "Let ( 1 task ) / ( t hours ) = B's rate<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "( 1 task ) / ( t - 4 hours ) = A's rate<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t-4+%29+=+1%2F%288%2F3%29+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-4+%29+=+1%2F%288%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t-4+%29+=+3%2F8+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-4+%29+=+3%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=+t%2A%28+t-4+%29%2A8+ ALIGN=MIDDLE  ALT=\"+t%2A%28+t-4+%29%2A8+\"   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-4+%29+%2B+8t++=+3%2At%2A%28+t+-4+%29+ ALIGN=MIDDLE  ALT=\"+8%2A%28+t-4+%29+%2B+8t++=+3%2At%2A%28+t+-4+%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+-+32+%2B+8t+=+3%2A%28+t%5E2+-+4t+%29+ ALIGN=MIDDLE  ALT=\"+8t+-+32+%2B+8t+=+3%2A%28+t%5E2+-+4t+%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+-32+%2B+8t+=+3t%5E2+-+12t+ ALIGN=MIDDLE  ALT=\"+8t+-32+%2B+8t+=+3t%5E2+-+12t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t%5E2+-+28t+%2B+32+=+0+ ALIGN=MIDDLE  ALT=\"+3t%5E2+-+28t+%2B+32+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the 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+=+3+ ALIGN=MIDDLE  ALT=\"+a+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-28+ ALIGN=MIDDLE  ALT=\"+b+=+-28+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+32+ ALIGN=MIDDLE  ALT=\"+c+=+32+\"   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-%28-28%29+%2B-+sqrt%28+%28-28%29%5E2-4%2A3%2A32+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-%28-28%29+%2B-+sqrt%28+%28-28%29%5E2-4%2A3%2A32+%29%29%2F%282%2A3%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+28+%2B-+sqrt%28+784+-+384+%29%29+%2F+6+ ALIGN=MIDDLE  ALT=\"+t+=+%28+28+%2B-+sqrt%28+784+-+384+%29%29+%2F+6+\"   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+%2B-+sqrt%28+400+%29%29+%2F+6+ ALIGN=MIDDLE  ALT=\"+t+=+%28+28+%2B-+sqrt%28+400+%29%29+%2F+6+\"   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+%2B+20+%29+%2F+6+ ALIGN=MIDDLE  ALT=\"+t+=+%28+28+%2B+20+%29+%2F+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( ignore the (-) root )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+48%2F6+ ALIGN=MIDDLE  ALT=\"+t+=+48%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+8+ ALIGN=MIDDLE  ALT=\"+t+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It takes B 8 hrs to do the task alone<BR>\n" );
document.write( "It takes A <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+-+4+ ALIGN=MIDDLE  ALT=\"+8+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4 hrs to do the task alone<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t-4+%29+=+3%2F8+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t-4+%29+=+3%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%2F8+%2B+1%2F%28+8-4+%29+=+3%2F8+ ALIGN=MIDDLE  ALT=\"+1%2F8+%2B+1%2F%28+8-4+%29+=+3%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%2F8+%2B+1%2F4+=+3%2F8+ ALIGN=MIDDLE  ALT=\"++1%2F8+%2B+1%2F4+=+3%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%2F8+%2B+2%2F8+=+3%2F8+ ALIGN=MIDDLE  ALT=\"+1%2F8+%2B+2%2F8+=+3%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F8+=+3%2F8+ ALIGN=MIDDLE  ALT=\"+3%2F8+=+3%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );