document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262841>Question 262841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 810 dishes that need to be rinsed.  John can rinse them in 90 minutes by himself.  It will take his friend Bob 135 minutes to rinse these dishes.  How long will it take them if they rinse these 810 dishes together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193612 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=193612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 810 dishes that need to be rinsed.<BR>\n" );
document.write( " John can rinse them in 90 minutes by himself.<BR>\n" );
document.write( " It will take his friend Bob 135 minutes to rinse these dishes.<BR>\n" );
document.write( " How long will it take them if they rinse these 810 dishes together?<BR>\n" );
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document.write( "Let t = time required to do the job when they work together<BR>\n" );
document.write( "Let the completed job = 1 (the rinsing of 810 dishes)<BR>\n" );
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document.write( "A typical shared work equation<BR>\n" );
document.write( "each will do a fraction of the job, the two fractions add up to 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F90 ALIGN=MIDDLE  ALT=\"t%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F135 ALIGN=MIDDLE  ALT=\"t%2F135\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by 12150 (that's 90*135); results<BR>\n" );
document.write( "135t + 90t = 12150<BR>\n" );
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document.write( "225t = 12150<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12150%2F225 ALIGN=MIDDLE  ALT=\"12150%2F225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 54 minutes working together<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "Check on calc: enter 54/90 + 54/135 = 1; confirms our solution </SPAN>\n" );
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