document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872709>Question 872709</A>: <I><SPAN STYLE=\"word-break: break-all;\"> B1 and B2 can solve a math problem together in 8 minutes. If B1 works alone for 3 minutes and is then joined by B2, the two together can solve the problem in 6 more minutes. How long will it take B1 and B2 alone to solve the problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526337 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=526337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a uniform rates doing-a-job type proglem.  The sum of the job parts done is the whole job done.\r<BR>\n" );
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document.write( "Let x = the time in minutes for B1 alone to solve the problems.  His work rate is 1/x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%281%2Fx%29%2A3%2B%281%2F8%296=1%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%281%2Fx%29%2A3%2B%281%2F8%296=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; You can use x to help find the rate for B2, because once x is found from the first shown equation,  it will no longer be unknown, and you will be able to use: B1_and_B2_Combined=B1+B2, and the units used will be jobs per minute.  Reminder is their combined rate is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per minute.\r<BR>\n" );
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document.write( "USING THAT DESCRIPTION DISCUSSION AND THEN CONTINUE TO FINISH---------------------<BR>\n" );
document.write( "LCD, 8x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2B6x=8x ALIGN=MIDDLE  ALT=\"24%2B6x=8x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24=2x ALIGN=MIDDLE  ALT=\"24=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12 ALIGN=MIDDLE  ALT=\"x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > twelve minutes, rate for B1 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2F12%29 ALIGN=MIDDLE  ALT=\"highlight%281%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per minute.\r<BR>\n" );
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document.write( "Combined rate is known, and now B1 rate is known, so we can relate the sum of their rates:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12%2B1%2Fb=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F12%2B1%2Fb=1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using b as the time for B2 to do the job alone.<BR>\n" );
document.write( "LCD is 24b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24b%2F12%2B24b%2Fb=24b%2F8 ALIGN=MIDDLE  ALT=\"24b%2F12%2B24b%2Fb=24b%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2B24=3b ALIGN=MIDDLE  ALT=\"2b%2B24=3b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=24 ALIGN=MIDDLE  ALT=\"b=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes for B2 to do the job alone.<BR>\n" );
document.write( "Rate for B2 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2F24%29 ALIGN=MIDDLE  ALT=\"highlight%281%2F24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per minute. </SPAN>\n" );
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