document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202013>Question 202013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you help me about this ? :<BR>\n" );
document.write( "Ben can paint a house in 36 hours. Carlos can pint the same house in 24 hours. They started working together but after 12 hours Ben quit. How much time was necessary for Carlos to finish the job alone?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152274 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=152274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's first find the hourly rate of each painter:<BR>\n" );
document.write( "If Ben can paint the entire house in 36 hours, then he can paint <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F36 ALIGN=MIDDLE  ALT=\"1%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the house in 1 hour.<BR>\n" );
document.write( "If Carlos can paint the entire house in 24 hours, then he can paint <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F24 ALIGN=MIDDLE  ALT=\"1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the house in 1 hour.<BR>\n" );
document.write( "Working together, Ben & Carlos can paint <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F36%29%2B%281%2F24%29+=+5%2F72 ALIGN=MIDDLE  ALT=\"%281%2F36%29%2B%281%2F24%29+=+5%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the house in 1 hour.<BR>\n" );
document.write( "In 12 hours they can paint <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%29%2A%285%2F72%29+=+5%2F6 ALIGN=MIDDLE  ALT=\"%2812%29%2A%285%2F72%29+=+5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the house, which leaves only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the house to finish.<BR>\n" );
document.write( "Now the question, how long will it take Carlos to finish the house?<BR>\n" );
document.write( "Well, Carlos can do <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F24 ALIGN=MIDDLE  ALT=\"1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > in 1 hour, so you can let x = the number of hours Carlos needs and form a proportion:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6+=+x%2F24 ALIGN=MIDDLE  ALT=\"1%2F6+=+x%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F4 ALIGN=MIDDLE  ALT=\"4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the common denominator of 24.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F4%29%2A%281%2F6%29+=+x%2F24 ALIGN=MIDDLE  ALT=\"%284%2F4%29%2A%281%2F6%29+=+x%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F24+=+x%2F24 ALIGN=MIDDLE  ALT=\"4%2F24+=+x%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4 ALIGN=MIDDLE  ALT=\"x+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Carlos needs 4 hours to finish the job.  </SPAN>\n" );
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