document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69382>Question 69382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two chemical plants are releasing toxic wastes into the atmosphere. Plant I releases a certain amount twie as fast as Plant II. Together they release that amount in 3 hours. How long does it take the slower plant to release that same amount. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49396 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=49396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x= amount of toxic waste released <BR>\n" );
document.write( "Let t= the time it takes Plant II to release x amount  <BR>\n" );
document.write( "Then (t/2)= the time it takes Plant I to release x amount \r<BR>\n" );
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document.write( "So Plant II releases toxic waste at the rate of x/t cu units per hour\r<BR>\n" );
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document.write( "And Plant I releases toxic waste at the rate of x/(t/2) or 2x/t cu units per hour\r<BR>\n" );
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document.write( "Now we are told that in 3 hours, Plant I and Plant II together can release the x amount of toxic waste\r<BR>\n" );
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document.write( "Sooooo<BR>\n" );
document.write( "(x/t+2x/t)*3=x first, lets get rid of parens<BR>\n" );
document.write( "3x/t+6x/t=x<BR>\n" );
document.write( "9x/t=x   divide both sides by x\r<BR>\n" );
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document.write( "9/t=1  multiply both sides by t\r<BR>\n" );
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document.write( "t=9 hours  -------------------Time it takes Plant II (the slower Plant) to release x amount of toxic waste.\r<BR>\n" );
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document.write( "(t/2)=9/2=4.5 hours------------Time it takes Plant I to release x amount of waste\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "Plant I releases at the rate of x/9\r<BR>\n" );
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document.write( "Plant II releases at the rate of x/4.5\r<BR>\n" );
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document.write( "Together they release at the rate of x/9+x/4.5.  This equals:\r<BR>\n" );
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document.write( "x/9+x/4.5=x/9+2x/9=3x/9=x/3 \r<BR>\n" );
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document.write( "Or in 3 hours they together have released the certain amount.\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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