document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162431>Question 162431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B working together can do a job in 20/3 hours. A became ill after 3 hours of working with B and B finished the job, continuing the work alone in 33/4 more hours. How long would it take each working alone to do the job???? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119750 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=119750\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A and B working together can do a job in 20/3 hours. A becames ill after 3 hours<BR>\n" );
document.write( " of working with B and B finished the job, continuing the work alone in 33/4 more<BR>\n" );
document.write( " hours. How long would it take each working alone to do the job????<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let a = A's time working alone<BR>\n" );
document.write( "Let b = B's time working alone<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Equation 1, for the statement,\"A and B working together can do a job in 20/3 hours\" <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820%2F3%29%2Fa ALIGN=MIDDLE  ALT=\"%2820%2F3%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820%2F3%29%2Fb ALIGN=MIDDLE  ALT=\"%2820%2F3%29%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Which is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283a%29 ALIGN=MIDDLE  ALT=\"20%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283b%29 ALIGN=MIDDLE  ALT=\"20%2F%283b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; (we invert the dividing fraction and multiply)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Equation 2 when A gets sick:<BR>\n" );
document.write( "B works 3 hr + 33/4 hr = 45/4; hrs total for B<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fa ALIGN=MIDDLE  ALT=\"3%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F%284b%29 ALIGN=MIDDLE  ALT=\"45%2F%284b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply the 1st fraction by 3/3 to have same denominator as the 1st equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%283a%29 ALIGN=MIDDLE  ALT=\"9%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F%284b%29 ALIGN=MIDDLE  ALT=\"45%2F%284b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Try to use elimination here with these two equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%283a%29 ALIGN=MIDDLE  ALT=\"9%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F%284b%29 ALIGN=MIDDLE  ALT=\"45%2F%284b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283a%29 ALIGN=MIDDLE  ALT=\"20%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283b%29 ALIGN=MIDDLE  ALT=\"20%2F%283b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the 1st equation by 20, and the 2nd equation by 9, results:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2F%283a%29 ALIGN=MIDDLE  ALT=\"180%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900%2F%284b%29 ALIGN=MIDDLE  ALT=\"900%2F%284b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2F%283a%29 ALIGN=MIDDLE  ALT=\"180%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2F%283b%29 ALIGN=MIDDLE  ALT=\"180%2F%283b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
document.write( "---------------------------------------subtraction eliminates a, leaving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=900%2F%284b%29 ALIGN=MIDDLE  ALT=\"900%2F%284b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2F%283%29 ALIGN=MIDDLE  ALT=\"180%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 11<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225%2Fb ALIGN=MIDDLE  ALT=\"225%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fb ALIGN=MIDDLE  ALT=\"60%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 11; reduced the fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165%2Fb ALIGN=MIDDLE  ALT=\"165%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 11<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165%2F11 ALIGN=MIDDLE  ALT=\"165%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 15 hrs by himself<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find a using eq: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283a%29 ALIGN=MIDDLE  ALT=\"20%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283b%29 ALIGN=MIDDLE  ALT=\"20%2F%283b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283a%29 ALIGN=MIDDLE  ALT=\"20%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283%2A15%29 ALIGN=MIDDLE  ALT=\"20%2F%283%2A15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283a%29 ALIGN=MIDDLE  ALT=\"20%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F45 ALIGN=MIDDLE  ALT=\"20%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283a%29 ALIGN=MIDDLE  ALT=\"20%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9 ALIGN=MIDDLE  ALT=\"4%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; reduced the fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283a%29 ALIGN=MIDDLE  ALT=\"20%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9%29 ALIGN=MIDDLE  ALT=\"4%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%283a%29 ALIGN=MIDDLE  ALT=\"20%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9%29 ALIGN=MIDDLE  ALT=\"5%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "5(3a) = 20*9<BR>\n" );
document.write( "15a = 180<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2F15 ALIGN=MIDDLE  ALT=\"180%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 12 hrs by himself<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution using eq;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%283a%29 ALIGN=MIDDLE  ALT=\"9%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F%284b%29 ALIGN=MIDDLE  ALT=\"45%2F%284b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%2836%29 ALIGN=MIDDLE  ALT=\"9%2F%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F%2860%29 ALIGN=MIDDLE  ALT=\"45%2F%2860%29\"   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%29 ALIGN=MIDDLE  ALT=\"3%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; confirms the solutions to this horrible problem!\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );