document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122330>Question 122330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Batman can clean up all of the crime in Gotham city in 8hr working alone.  Robin can do the same job alone in 12hr.  If Robin starts crime fighting at 8 A.M. and Batman joins him at 10 A.M.. then at what time will they have all of the crime cleaned up? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89844 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=89844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Batman can clean up all of the crime in Gotham city in 8hr working alone. Robin can do the same job alone in 12hr. If Robin starts crime fighting at 8 A.M. and Batman joins him at 10 A.M.. then at what time will they have all of the crime cleaned up?<BR>\n" );
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document.write( "Let t = time spent by Batman to wipe out crime<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+2) = time spent by Robin to wipe out crime<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F8%29 ALIGN=MIDDLE  ALT=\"t%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B2%29%29%2F12 ALIGN=MIDDLE  ALT=\"%28%28t%2B2%29%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 24 to get rid of the denominators<BR>\n" );
document.write( "24*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F8%29 ALIGN=MIDDLE  ALT=\"t%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 24*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B2%29%29%2F12 ALIGN=MIDDLE  ALT=\"%28%28t%2B2%29%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 24(1)<BR>\n" );
document.write( "Cancel out the denominators and you have:<BR>\n" );
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document.write( "3t + 2(t+2) = 24<BR>\n" );
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document.write( "3t + 2t + 4 = 24<BR>\n" );
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document.write( "5t = 24 - 4<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F5 ALIGN=MIDDLE  ALT=\"20%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 4 hrs Batman's time which started at 10 AM, therefore<BR>\n" );
document.write( "Completed job will be at 2 PM<BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F8%29 ALIGN=MIDDLE  ALT=\"4%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F12 ALIGN=MIDDLE  ALT=\"6%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; confirms our solution<BR>\n" );
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