document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67413>Question 67413</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565770390/algebrahomeworkh>Advanced mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A master painter can paint a house in M days and two workers require W1 and W2 days each to paint a house alone.  If the master can work as fast as the two workers working together, write an expression for M in terms of W1 and W2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47968 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Master Painter can paint 1/M houses per day\r<BR>\n" );
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document.write( "Worker1 can paint 1/W1 houses per day<BR>\n" );
document.write( "Worker2 can paint 1/W2 houses per day\r<BR>\n" );
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document.write( "Now we are told that:\r<BR>\n" );
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document.write( "1/M=1/W1+1/W2  First get rid of fractions by multiplying both sides by the LCM which is MW1W2\r<BR>\n" );
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document.write( "W1W2(M/M)=MW2(W1/W1)+MW1(W2/W2)  simplifying we get:\r<BR>\n" );
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document.write( "W1W2=MW2+MW1 and this equals:\r<BR>\n" );
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document.write( "W1W2=M(W1+W2)  divide both sides by (W1+W2)\r<BR>\n" );
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document.write( "M=W1W2/(W1+W2)\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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