document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=593460>Question 593460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Together Maria and Johannes can pick a bushel of apples in 16 minutes. Maria takes 4 minutes more to pick a bushel than Johannes does. Find the time it takes each person to pick a bushel of apples alone. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376338 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=376338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add their individual rates of picing to get <BR>\n" );
document.write( "their rate of picking together<BR>\n" );
document.write( "Together, rate = ( 1 bushel ) / ( 16 min )<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;\" > = Johanne's time ion minutes to pick 1 bushel<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+4+ ALIGN=MIDDLE  ALT=\"+t+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Maria's time in minutes to pick 1 bushel<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t+%2B+4+%29+=+1%2F16+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+%2B+4+%29+=+1%2F16+\"   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=+16t%2A%28+t+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+16t%2A%28+t+%2B+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=+16%2A%28+t+%2B+4+%29+%2B+16t+=+t%2A%28+t+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+16%2A%28+t+%2B+4+%29+%2B+16t+=+t%2A%28+t+%2B+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=+16t+%2B+64+%2B+16t+=+t%5E2+%2B+4t+ ALIGN=MIDDLE  ALT=\"+16t+%2B+64+%2B+16t+=+t%5E2+%2B+4t+\"   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+-+32t+%2B+4t+-+64+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+32t+%2B+4t+-+64+=+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+-+28t+-+64+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+28t+-+64+=+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+=+-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+=+-64+ ALIGN=MIDDLE  ALT=\"+c+=+-64+\"   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%2A1%2A%28-64%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-%28-28%29+%2B-+sqrt%28+%28-28%29%5E2+-+4%2A1%2A%28-64%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=+t+=+%28+28+%2B-+sqrt%28+784+%2B+256+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+28+%2B-+sqrt%28+784+%2B+256+%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+28+%2B-+sqrt%28+1040+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+28+%2B-+sqrt%28+1040+%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+28+%2B+32.25%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+t+=+%28+28+%2B+32.25%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( using the (-) sqrt gives negative time: ignore )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+60.25%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+60.25%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+=+30.125+ ALIGN=MIDDLE  ALT=\"+t+=+30.125+\"   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+4+=+34.125+ ALIGN=MIDDLE  ALT=\"+t+%2B+4+=+34.125+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Johanne takes 30.125 min picking alone<BR>\n" );
document.write( "Maria takes 34.125 min picking alone<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+%2B+4+%29+=+1%2F16+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+%2B+4+%29+=+1%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F30.125+%2B+1%2F34.125+=+1%2F16+ ALIGN=MIDDLE  ALT=\"+1%2F30.125+%2B+1%2F34.125+=+1%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0332+%2B+.0293+=+.0625+ ALIGN=MIDDLE  ALT=\"+.0332+%2B+.0293+=+.0625+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0625+=+.0625+ ALIGN=MIDDLE  ALT=\"+.0625+=+.0625+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );