document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=540708>Question 540708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To finish one task, Cathy need 2 more days than Mike.Cathy worked on it for 3 days, then Mike worked on it another 4 days. They only finish 80% of the task. How many days does Cathy need to finish the task alone. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354025 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=354025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To finish one task, Cathy need 2 more days than Mike.<BR>\n" );
document.write( "Cathy worked on it for 3 days, then Mike worked on it another 4 days.<BR>\n" );
document.write( " They only finish 80% of the task.<BR>\n" );
document.write( " How many days does Cathy need to finish the task alone.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = no. of days required by Cathy working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t-2) - no. of days required by Mike<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( "then<BR>\n" );
document.write( ".8 = 80% of the job<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The equation for the statement:<BR>\n" );
document.write( "\"Cathy worked on it for 3 days, then Mike worked on it another 4 days.<BR>\n" );
document.write( " They only finish 80% of the task.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ft ALIGN=MIDDLE  ALT=\"3%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%28t-2%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28t-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "multiply by t(t-2), results<BR>\n" );
document.write( "3(t-2) + 4t = .8t(t-2)<BR>\n" );
document.write( "3t - 6 + 4t = .8t^2 - 1.6t<BR>\n" );
document.write( "7t - 6 = .8t^2 - 1.6t<BR>\n" );
document.write( "0 = .8t^2 - 1.6t - 7t + 6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( ".8t^2 - 8.6x + 6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Get rid of those decimals, mult by 10<BR>\n" );
document.write( "8t^2 - 86t + 60 = 0<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "4t^2 - 43t + 30 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(4t - 3)(t - 10) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "4t = 3<BR>\n" );
document.write( "t = 3/4<BR>\n" );
document.write( "t = .75<BR>\n" );
document.write( "and<BR>\n" );
document.write( "t = 10 hrs is the reasonable answer for Cathy's time alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution (Mike's time is 8 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F10 ALIGN=MIDDLE  ALT=\"3%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F8 ALIGN=MIDDLE  ALT=\"4%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ".3 + .5 = .8 </SPAN>\n" );
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