document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352056>Question 352056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two teams working together can complete the project in 45 days. Team A works for 18 days and team B works for 12 days and they complete 30% of the project. How long will each team take to complete the project when they work alone. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251546 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=251546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of time it takes Team A working alone to complete the project<BR>\n" );
document.write( "Then Team A works at the rate of 1/x of the project per day<BR>\n" );
document.write( "And let y=amount of time it takes Team B working alone to complete the project<BR>\n" );
document.write( "Then Team B works at the rate of 1/y of the project per day<BR>\n" );
document.write( "Were are told that together the two teams can complete the project in 45 days<BR>\n" );
document.write( "Then, together the two teams work at the rate of 1/45 of the project per day.<BR>\n" );
document.write( "Soooo, our first equation is:\r<BR>\n" );
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document.write( "1/x + 1/y=1/45-----------------------------eq1\r<BR>\n" );
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document.write( "In 18 days, Team A completes (1/x)*18=18/x of the project<BR>\n" );
document.write( "In 12 days team B completes (1/y)*12=12/y of the project<BR>\n" );
document.write( "And we are told that this work completes 30% of the project.<BR>\n" );
document.write( "Soooo, our second equation is:\r<BR>\n" );
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document.write( "18/x +12/y=0.3*1 (1 project, that is)--------eq2\r<BR>\n" );
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document.write( "Multiply eq1 by 12 and then subtract it from eq2 and we get:<BR>\n" );
document.write( "6/x =0.03<BR>\n" );
document.write( "0.03x=6<BR>\n" );
document.write( "x=200 days---time it takes team A working alone\r<BR>\n" );
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document.write( "substitute x=200 into eq1 and we get:\r<BR>\n" );
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document.write( "1/200+1/y=1/45 multiply each term by 200y<BR>\n" );
document.write( "y+200=4.44y<BR>\n" );
document.write( "3.44y=200<BR>\n" );
document.write( "y=58.1 days ---time it takes team B working alone\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "(1/200)*45 +(1/58.1)*45=1 (project, that is)<BR>\n" );
document.write( "0.225 + 0.775=1<BR>\n" );
document.write( "~~~~~~1=1<BR>\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
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