document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894720>Question 894720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Printing machine A and B working together 2hrs 24min to complete a piece of job. both machines started working together and after 36min  B broke down and A had to continue alone. if it took 3hrs for machine A to complete the task , determine how long each machine would take to complete printin papers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542276 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=542276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each machine has a rate of printing expressed as:<BR>\n" );
document.write( "( number of printing jobs finished ) / ( time to do all those jobs in hrs )<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = A's rate of printing<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bb%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = B's rate of printing<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+ ALIGN=MIDDLE  ALT=\"+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24%2F60+=+.4+ ALIGN=MIDDLE  ALT=\"+24%2F60+=+.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+ ALIGN=MIDDLE  ALT=\"+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36%2F60+=+.6+ ALIGN=MIDDLE  ALT=\"+36%2F60+=+.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+%2B+R%5Bb%5D+=+1+%2F+2.4+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+%2B+R%5Bb%5D+=+1+%2F+2.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+ ALIGN=MIDDLE  ALT=\"+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes, how much of the job did<BR>\n" );
document.write( "the machines finish working together?<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2.4+ ALIGN=MIDDLE  ALT=\"+2.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs, they would have done the whole job<BR>\n" );
document.write( "They finished <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.6+%2F+2.4+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+.6+%2F+2.4+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+ ALIGN=MIDDLE  ALT=\"+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "There is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F4+ ALIGN=MIDDLE  ALT=\"+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job left to do<BR>\n" );
document.write( "It took <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+ ALIGN=MIDDLE  ALT=\"+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs for A to finish the job alone, so<BR>\n" );
document.write( "A's rate of printing is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+=+%28+3%2F4%29+%2F+3+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+%28+3%2F4%29+%2F+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs / hr<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Now I can say:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+%2B+R%5Bb%5D+=+1+%2F+2.4+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+%2B+R%5Bb%5D+=+1+%2F+2.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+R%5Bb%5D+=+1+%2F+2.4+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+R%5Bb%5D+=+1+%2F+2.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+R%5Bb%5D+=+10%2F24+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+R%5Bb%5D+=+10%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2F24+%2B+R%5Bb%5D+=+10%2F24+ ALIGN=MIDDLE  ALT=\"+6%2F24+%2B+R%5Bb%5D+=+10%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bb%5D+=+4%2F24+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+=+4%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bb%5D+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs/hr<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "A would take 4 hrs to do the job alone<BR>\n" );
document.write( "B would take 6 hrs to do the job alone<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+%2B+R%5Bb%5D+=+1+%2F+2.4+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+%2B+R%5Bb%5D+=+1+%2F+2.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+1%2F6+=+1+%2F+2.4+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+1%2F6+=+1+%2F+2.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2F24+%2B+4%2F24+=+10%2F24+ ALIGN=MIDDLE  ALT=\"+6%2F24+%2B+4%2F24+=+10%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2F24+=+10%2F24+ ALIGN=MIDDLE  ALT=\"+10%2F24+=+10%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );