document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162019>Question 162019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ROSE DROVE HER CAR FROM HER HOME TO THE PROVINCE AND BACK,A TOTAL DISTANCE OF 120KM.HER AVERAGE SPEED RETURNING WAS 3KPH SLOWER THAN HER AVERAGE SPEED GOING TO THE PROVINCE.IF HER TOTAL DRIVING TIME WAS 9 HOURS ,WHAT WAS HER AVERAGE SPEED IN GOING TO THE PROVINCE? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119635 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=119635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ROSE DROVE HER CAR FROM HER HOME TO THE PROVINCE AND BACK, A TOTAL DISTANCE OF<BR>\n" );
document.write( " 120KM. HER AVERAGE SPEED RETURNING, WAS 3KPH SLOWER THAN HER AVERAGE SPEED<BR>\n" );
document.write( " GOING, TO THE PROVINCE. IF HER TOTAL DRIVING TIME WAS 9 HOURS,<BR>\n" );
document.write( "WHAT WAS HER AVERAGE SPEED IN GOING TO THE PROVINCE?<BR>\n" );
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document.write( "From the given information we can assume that one way; 120/2 = 60 km<BR>\n" );
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document.write( "Let s = her speed going <BR>\n" );
document.write( "and<BR>\n" );
document.write( "(s-3) = her speed returning<BR>\n" );
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document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Go time + return time = 9 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fs ALIGN=MIDDLE  ALT=\"60%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F%28%28s-3%29%29 ALIGN=MIDDLE  ALT=\"60%2F%28%28s-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
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document.write( "Eliminate the denominators, multiply equation by s(s-3), results:<BR>\n" );
document.write( "60(s-3) + 60s = 9(s(s-3))<BR>\n" );
document.write( ";<BR>\n" );
document.write( "60s - 180 + 60s = 9(s^2 - 3s)<BR>\n" );
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document.write( "120s - 180 = 9s^2 - 27s<BR>\n" );
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document.write( "0 = 9s^2 - 27s - 120s + 180<BR>\n" );
document.write( "A quadratic equation:<BR>\n" );
document.write( "9s^2 - 147s + 180 = 0<BR>\n" );
document.write( "This can be factored to<BR>\n" );
document.write( "(3s - 45)(3s - 4) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "3s = 4<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "3s = 45<BR>\n" );
document.write( "s = 15 km/h this seems to be the most reasonable<BR>\n" );
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document.write( "Speed going: 15 km/h; and speed returning 12 km/h<BR>\n" );
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document.write( "Check in original equation<BR>\n" );
document.write( "60/15 + 60/12 = <BR>\n" );
document.write( "4 + 5 = 9 hrs </SPAN>\n" );
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