document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45108>Question 45108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "I would really appreciate help with this problem:\r<BR>\n" );
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document.write( "George and Michael working together can do a job in 24 hours. After George being working alone for 7 hours, Michael joined him and together finished the job in 20 more hours. How long would it take each one working alone to do the job? \r<BR>\n" );
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document.write( "Thanks in advance,<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 #29931 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=29931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> George and Michael working together can do a job in 24 hours. After George being working alone for 7 hours, Michael joined him and together finished the job in 20 more hours. How long would it take each one working alone to do the job? \r<BR>\n" );
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document.write( "George DATA:<BR>\n" );
document.write( "Time to do the job= x hrs.; Rate=1/x job per hour\r<BR>\n" );
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document.write( "Michael DATA:<BR>\n" );
document.write( "Time to do the job= y hrs.; Rate=1/y job per hour\r<BR>\n" );
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document.write( "Together Data:<BR>\n" );
document.write( "Time to do the job= 24 hrs.; Rate = 1/24 job per hour\r<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "rate + rate = rate together<BR>\n" );
document.write( "1/x + 1/y = 1/24\r<BR>\n" );
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document.write( "george work + together work = 1 job<BR>\n" );
document.write( "7 hrs(1/x) +20hrs(1/24) = 1 job<BR>\n" );
document.write( "7/x + 5/6 = 1 job<BR>\n" );
document.write( "7/x =1/6 job<BR>\n" );
document.write( "x=42 hrs. (time for George to do the job alone)\r<BR>\n" );
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document.write( "Substitute that into 1/x + 1/y = 1/24 and solve for y, as follows:\r<BR>\n" );
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document.write( "1/42 + 1/y = 1/24<BR>\n" );
document.write( "(y+42)/42y=1/24<BR>\n" );
document.write( "24y+1008=42y<BR>\n" );
document.write( "18y=1008<BR>\n" );
document.write( "y=56 hrs. ( time for Michael to do the job alone)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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