document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=429340>Question 429340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Together Maria and Johannes can pick a bushel of apples in 16 min. Maria takes 4 min 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 #298249 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=298249\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Together Maria and Johannes can pick a bushel of apples in 16 min.<BR>\n" );
document.write( " Maria takes 4 min more to pick a bushel than Johannes does.<BR>\n" );
document.write( " Find the time it takes each person to pick a bushel of apples alone.<BR>\n" );
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document.write( "Let m = time for Maria to pick a bushel alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(m-4) = time for Joan to do it<BR>\n" );
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document.write( "Let the completed job = 1 (a bushel of apples<BR>\n" );
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document.write( "Each girl will pick a fraction of a bushel and the two fractions must equal 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Fm ALIGN=MIDDLE  ALT=\"16%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F%28%28m-4%29%29 ALIGN=MIDDLE  ALT=\"16%2F%28%28m-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply by m(m-4), results:<BR>\n" );
document.write( "16(m-4) + 16m = m(m-4)<BR>\n" );
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document.write( "16m - 64 + 16m = m^2 - 4m<BR>\n" );
document.write( "combine like terms on the right<BR>\n" );
document.write( "0 = m^2 - 4m - 32m + 64<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "m^2 - 36m + 64 = 0<BR>\n" );
document.write( "This will not factor, use the quadratic formula: a=1; b=-36; c=64<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-%28-36%29+%2B-+sqrt%28-36%5E2-4%2A1%2A4+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"m+=+%28-%28-36%29+%2B-+sqrt%28-36%5E2-4%2A1%2A4+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the math here, two solutions but only one will be reasonable, about 34 min for Marie </SPAN>\n" );
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