document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212177>Question 212177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help me please!!!\r<BR>\n" );
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document.write( "A new machine can make 10,000 aluminum cans three times faster than an older machine. With both machines working, 10,000 cans can be made in 9 hours. How long would it take the new machine, working alone, to make the 10,000 cans?\r<BR>\n" );
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document.write( "I don't know how to show my work on this! :( </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160245 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=160245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A new machine can make 10,000 aluminum cans three times faster than an older machine. With both machines working, 10,000 cans can be made in 9 hours. How long would it take the new machine, working alone, to make the 10,000 cans?------------------------------------<BR>\n" );
document.write( "Older machine DATA:<BR>\n" );
document.write( "time = 3x hrs/job ; rate = 1/3x jobs/hr<BR>\n" );
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document.write( "Newer machine DATA:<BR>\n" );
document.write( "time = x hrs/job ; rate = 1/x job/hr<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Together DATA:<BR>\n" );
document.write( "time = 9 hrs/job ; rate = 1/9 job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/3x + 1/x = 1/9<BR>\n" );
document.write( "Multiply thru by 9x to get:<BR>\n" );
document.write( "3 + 9 = x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 12 hrs (time for the newer machine)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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