document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=708075>Question 708075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cara can pick enough apples to fill a barrel in half an hour. Jim takes 42 minutes to do it. In how many minutes can they pick a barrel full if they do it together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435969 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=435969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If they work together, we are assuming their rates are additive.\r<BR>\n" );
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document.write( "Cara does 1 barrel in 30 minutes, rate is 1/30.<BR>\n" );
document.write( "Jack's work rate is 1/42 barrels per minute.\r<BR>\n" );
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document.write( "Working together, their rate is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F30%2B1%2F42 ALIGN=MIDDLE  ALT=\"1%2F30%2B1%2F42\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Using the relation rate*time=jobs, to do ONE job, (fill 1 barrel), we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F30%2B1%2F42%29%2At=1 ALIGN=MIDDLE  ALT=\"%281%2F30%2B1%2F42%29%2At=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The number of minutes then for both of them doing this one job is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=1%2F%281%2F30%2B1%2F42%29 ALIGN=MIDDLE  ALT=\"t=1%2F%281%2F30%2B1%2F42%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Just look at the rate and simplify that first:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%287%2B5%29%2F%282%2A3%2A5%2A7%29 ALIGN=MIDDLE  ALT=\"r=%287%2B5%29%2F%282%2A3%2A5%2A7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=12%2F72 ALIGN=MIDDLE  ALT=\"r=12%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=1%2F6 ALIGN=MIDDLE  ALT=\"r=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  1 barrels in 6 minutes\r<BR>\n" );
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document.write( "Refer back a bit to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >, that job is done in 6 minutes. </SPAN>\n" );
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