document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243126>Question 243126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Carmen's rate of solving a certain puzzle is three times that of Joseph. One day, they worked together for 40 mins, after which Joseph was called for an errand. Carmelo finished the rest of the puzzle in 20 minutes. How long would it take each to solve the puzzle alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178277 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=178277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Carmen's rate of solving a certain puzzle is three times that of Joseph.<BR>\n" );
document.write( " One day, they worked together for 40 mins, after which Joseph was called for an errand.<BR>\n" );
document.write( " Carmelo finished the rest of the puzzle in 20 minutes.<BR>\n" );
document.write( " How long would it take each to solve the puzzle alone?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time required for Carmen to solve the puzzle alone<BR>\n" );
document.write( "She works 3 times as fast as Joseph, therefore<BR>\n" );
document.write( "3t = time required by Joseph to solve it alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed puzzle = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Joe works for 40 min and Carm works for 40+20 = 60 min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Ft ALIGN=MIDDLE  ALT=\"60%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F%283t%29 ALIGN=MIDDLE  ALT=\"40%2F%283t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 3t, results<BR>\n" );
document.write( "3(60) + 40 = 3t<BR>\n" );
document.write( "180 + 40 = 3t<BR>\n" );
document.write( "3t = 220<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=220%2F3 ALIGN=MIDDLE  ALT=\"220%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 73<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > min for Carmen<BR>\n" );
document.write( "and<BR>\n" );
document.write( "5*73.33 = 220 min for Joe<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );