document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47402>Question 47402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "I would really appreciate some help with this question:\r<BR>\n" );
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document.write( "A painter can prepare and paint a room in 10 hours. His son requires 18 hours to do the same job. How long will it take to prepare and paint the room working together?\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Louis </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31307 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=31307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's one approach: Find the hourly rates of each person.\r<BR>\n" );
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document.write( "If the painter can do the whole job in 10 hours, then he can do 1/10 of the job in 1 hour.<BR>\n" );
document.write( "If his son can do the whole job in 18 hours, then he can do 1/18 of the job in 1 hour.\r<BR>\n" );
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document.write( "Together, they can do (1/10 + 1/18) of the job in 1 hour.<BR>\n" );
document.write( "So together, in 1 hour they can do (9/90 + 5/90 = 14/90) of the job in 1 hour.\r<BR>\n" );
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document.write( "This means it will take them 90/14 hour to do the whole job together.\r<BR>\n" );
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document.write( "90/14 hour = 6 hrs and 25.7 minutes. <BR>\n" );
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