document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77704>Question 77704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can some help me figure this out?\r<BR>\n" );
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document.write( "Together John, Tina and Chris together completes the yard in 1 hour and 20 minutes. To do it alone John will need twice the time that Tina needs and two hours more than Chris. how long would it take each to complete the job working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55756 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to find the fraction of the job that each person does, you divide the combined time (80 min) by the individual time---eg. if it takes a group 1 hr to do a job and one of the members can do the job in 2 hr, that person does 1/2 of the job\r<BR>\n" );
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document.write( "let x=Tina's time, so 2x=John's time, and 2x-2=Chris' time...together they do the whole job\r<BR>\n" );
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document.write( "the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2880%2Fx%29%2B%2880%2F2x%29%2B%2880%2F%282x-2%29%29=1 ALIGN=MIDDLE  ALT=\"%2880%2Fx%29%2B%2880%2F2x%29%2B%2880%2F%282x-2%29%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >multiplying by 2x(x-1) gives...160x-160+80x-80+80x=2x(x-1)\r<BR>\n" );
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document.write( "collecting and rearranging terms gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-322x%2B240=0 ALIGN=MIDDLE  ALT=\"2x%5E2-322x%2B240=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-161x%2B120=0 ALIGN=MIDDLE  ALT=\"x%5E2-161x%2B120=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "using quadratic formula:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28161+%2B-+sqrt%28161%5E2-4%2A120%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28161+%2B-+sqrt%28161%5E2-4%2A120%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...so x is approx. 160.25 or .75\r<BR>\n" );
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document.write( ".75 is less than 80 so NOT possible...so Tina takes 160.25 min...John takes 320.5 min...and Chris takes 200.5 min </SPAN>\n" );
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