document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125606>Question 125606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a new machine can make 10000 cans three times faster than an older one. With both machines working ,10000 cans can be made in 9 hrs. How long would it take the new machine, working alone to make 10000 cans? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92193 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a new machine can make 10000 cans three times faster than an older one. With both machines working ,10000 cans can be made in 9 hrs. How long would it take the new machine, working alone to make 10000 cans?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = time for the new machine to do the job by itself<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3x = time required for the old machine to do the job by itself, (take 3 times as long)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1; (the making of 10,000 cans)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%283x%29 ALIGN=MIDDLE  ALT=\"9%2F%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fx ALIGN=MIDDLE  ALT=\"9%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply equation to get rid of the denominators and you have:<BR>\n" );
document.write( "9 + 3(9) = 3x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "9 + 27 = 3x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "36 = 3x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F3 ALIGN=MIDDLE  ALT=\"36%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 12 hrs, new machine working by itself<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in original equation (old machine time 3*12 = 36hrs)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F36 ALIGN=MIDDLE  ALT=\"9%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F12 ALIGN=MIDDLE  ALT=\"9%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );