document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=327804>Question 327804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John takes 3 hours longer than Andrew to<BR>\n" );
document.write( "peel 500 pounds (lb) of apples. If together they can peel<BR>\n" );
document.write( "500 lb of apples in 8 hours, then how long would it take<BR>\n" );
document.write( "each one 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 #234767 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=234767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> John takes 3 hours longer than Andrew to peel 500 pounds (lb) of apples.<BR>\n" );
document.write( " If together they can peel 500 lb of apples in 8 hours, then how long would it<BR>\n" );
document.write( " take each one working alone.<BR>\n" );
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document.write( "Let t = time required by Andrew<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+3) = time required by John<BR>\n" );
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document.write( "Let the completed job = 1; (the peeling of 500 lb of potatoes)<BR>\n" );
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document.write( "Each person will do a fraction of job, the two fractions add up to 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Ft ALIGN=MIDDLE  ALT=\"8%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%28t%2B3%29 ALIGN=MIDDLE  ALT=\"8%2F%28t%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by t(t+3),<BR>\n" );
document.write( "results:<BR>\n" );
document.write( "8(t+3) + 8t = t(t+3)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "8t + 24 + 8t = t^2 + 3t<BR>\n" );
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document.write( "16t + 24 = t^2 + 3t<BR>\n" );
document.write( "Arrange as quadratic equation<BR>\n" );
document.write( "t^2 + 3t - 16t - 24 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "t^2 - 13t - 24 = 0<BR>\n" );
document.write( "Use the quadratic formula to find t<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( "x=t, a=1, b=-13, c=-24<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-%28-13%29+%2B-+sqrt%28-13%5E2-4%2A1%2A-24+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-%28-13%29+%2B-+sqrt%28-13%5E2-4%2A1%2A-24+%29%29%2F%282%2A1%29+\"   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=t+=+%2813+%2B-+sqrt%28169-%28-96%29+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"t+=+%2813+%2B-+sqrt%28169-%28-96%29+%29%29%2F2+\"   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=t+=+%2813+%2B-+sqrt%28265+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"t+=+%2813+%2B-+sqrt%28265+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The positive solution is what we want here:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%2813+%2B+16.279%29%2F2+ ALIGN=MIDDLE  ALT=\"t+=+%2813+%2B+16.279%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29.279%2F2 ALIGN=MIDDLE  ALT=\"29.279%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 14.64 hrs, Andrew working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "14.64+3 = 17.64 hrs, John working alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F14.64 ALIGN=MIDDLE  ALT=\"8%2F14.64\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F17.64 ALIGN=MIDDLE  ALT=\"8%2F17.64\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( " .546 + .454 = 1 </SPAN>\n" );
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