document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=728566>Question 728566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A machine caps a 1000 bottles in 10 minutes, another machine caps 1000 bottles in 8 minutes.<BR>\n" );
document.write( "a) If these machines were together how much time will it take to cap 1000 bottles?\r<BR>\n" );
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document.write( "b) if t1 and t2 are the time in the above problem. Determine the time taken by both machines working together?\r<BR>\n" );
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document.write( "c) What expression corresponds to the time it takes the 2 machines to do a job if the first does it in (a-2) minutes and the second one does it in (a^2-2a) minutes.\r<BR>\n" );
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document.write( "Can you please help me? Thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445538 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=445538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since you're only dealing with 1000 bottles, you can<BR>\n" );
document.write( "say that 1000 bottles = 1 job<BR>\n" );
document.write( "Add the rates that the 2 machines work at<BR>\n" );
document.write( "( 1 job / 10 min ) + ( 1 job / 8 min ) = 1 job / t min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F10+%2B+1%2F8+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F10+%2B+1%2F8+=+1%2Ft+\"   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=+40t+ ALIGN=MIDDLE  ALT=\"+40t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4t+%2B+5t+=+40+ ALIGN=MIDDLE  ALT=\"+4t+%2B+5t+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9t+=+40+ ALIGN=MIDDLE  ALT=\"+9t+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+4.444+ ALIGN=MIDDLE  ALT=\"+t+=+4.444+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min with both working<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B1%5D+%2F+t%5B2%5D+=+10%2F8+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+%2F+t%5B2%5D+=+10%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+%288%2F10%29%2At%5B1%5D+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+%288%2F10%29%2At%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+%284%2F5%29%2At%5B1%5D+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+%284%2F5%29%2At%5B1%5D+\"   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%5B1%5D+%2B+1%2Ft%5B2%5D+=+1%2F4.444+ ALIGN=MIDDLE  ALT=\"+1%2Ft%5B1%5D+%2B+1%2Ft%5B2%5D+=+1%2F4.444+\"   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%5B1%5D+%2B+1%2Ft%5B2%5D+=+1%2F4.444+ ALIGN=MIDDLE  ALT=\"+1%2Ft%5B1%5D+%2B+1%2Ft%5B2%5D+=+1%2F4.444+\"   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%5B1%5D++%2B+1%2F%28%284%2F5%29%2At%5B1%5D%29+=+9%2F40+ ALIGN=MIDDLE  ALT=\"+1%2Ft%5B1%5D++%2B+1%2F%28%284%2F5%29%2At%5B1%5D%29+=+9%2F40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+1%2Ft%5B1%5D+%29%2A%28+1+%2B+5%2F4+%29+=+9%2F40+ ALIGN=MIDDLE  ALT=\"+%28+1%2Ft%5B1%5D+%29%2A%28+1+%2B+5%2F4+%29+=+9%2F40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B1%5D+=+%2840%2F9%29%2A%289%2F4%29+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+=+%2840%2F9%29%2A%289%2F4%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%5B1%5D+=+10+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+%284%2F5%29%2At%5B1%5D+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+%284%2F5%29%2At%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+%288%2F10%29%2A10+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+%288%2F10%29%2A10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+8+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "I'm not sure this is what they want, though<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%28a-2%29+%2B+1%2F%28a%5E2+-+2a+%29+=+9%2F40+ ALIGN=MIDDLE  ALT=\"+1%2F%28a-2%29+%2B+1%2F%28a%5E2+-+2a+%29+=+9%2F40+\"   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=+40%2A%28a-2%29%2A%28a%5E2+-+2a%29+ ALIGN=MIDDLE  ALT=\"+40%2A%28a-2%29%2A%28a%5E2+-+2a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40%2A%28+a%5E2+-+2a+%29+%2B+40%2A%28+a-2+%29+=+9%2A%28+a-2+%29%2A%28+a%5E2+-+2a+%29+ ALIGN=MIDDLE  ALT=\"+40%2A%28+a%5E2+-+2a+%29+%2B+40%2A%28+a-2+%29+=+9%2A%28+a-2+%29%2A%28+a%5E2+-+2a+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40%2A%28+a%5E2+-a+-+2+%29+=+9%2A%28+a%5E3+-+2a%5E2+-+2a%5E2+-+4a+%29+ ALIGN=MIDDLE  ALT=\"+40%2A%28+a%5E2+-a+-+2+%29+=+9%2A%28+a%5E3+-+2a%5E2+-+2a%5E2+-+4a+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40a%5E2+-+40a+-+80+=+9a%5E3+-+36a%5E2+-+36a+ ALIGN=MIDDLE  ALT=\"+40a%5E2+-+40a+-+80+=+9a%5E3+-+36a%5E2+-+36a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9a%5E3+-+76a%5E2+%2B+4a+%2B+80+=+0+ ALIGN=MIDDLE  ALT=\"+9a%5E3+-+76a%5E2+%2B+4a+%2B+80+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hope I got it<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Tough problems<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );