document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=559461>Question 559461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evan, John, and Mark are on the same Learning Team.  If each worked on the team assignments alone, it would take Evan 10 hours, John 8 hours, and Mark 12 hours to finish the assignments.  They usually started the same time on Monday night after work.  Last week, Evan started early and he worked 2 hours on the assignments when John and Mark began.  All three finished the team assignments.  How long did they take to finish by working together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363486 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=363486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Evan, John, and Mark are on the same Learning Team.<BR>\n" );
document.write( " If each worked on the team assignments alone, it would take Evan 10 hours, John 8 hours, and Mark 12 hours to finish the assignments.<BR>\n" );
document.write( " They usually started the same time on Monday night after work.<BR>\n" );
document.write( " Last week, Evan started early and he worked 2 hours on the assignments when John and Mark began.<BR>\n" );
document.write( " All three finished the team assignments. How long did they take to finish by working together?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time spent working together<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+2) = time that Evan worked<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B2%29%29%2F10 ALIGN=MIDDLE  ALT=\"%28%28t%2B2%29%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F8 ALIGN=MIDDLE  ALT=\"t%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F12 ALIGN=MIDDLE  ALT=\"t%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 120, to clear the denominators<BR>\n" );
document.write( "120*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B2%29%29%2F10 ALIGN=MIDDLE  ALT=\"%28%28t%2B2%29%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 120*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F8 ALIGN=MIDDLE  ALT=\"t%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 120*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F12 ALIGN=MIDDLE  ALT=\"t%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 120(1)<BR>\n" );
document.write( "Cancel the denominators, results<BR>\n" );
document.write( "12(t+2) + 15t + 10t = 120<BR>\n" );
document.write( ":<BR>\n" );
document.write( "12t + 24 + 15t + 10t = 120<BR>\n" );
document.write( "37t = 120 - 24<BR>\n" );
document.write( "37t = 96<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2F37 ALIGN=MIDDLE  ALT=\"96%2F37\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 2.6 hrs working together<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check this in the shared work equation, Evan worked 4.6 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.6%2F10 ALIGN=MIDDLE  ALT=\"4.6%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.6%2F8 ALIGN=MIDDLE  ALT=\"2.6%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.6%2F12 ALIGN=MIDDLE  ALT=\"2.6%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".46 + .325 + .217 = 1.00; confirms our solution of t=2.6 </SPAN>\n" );
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