document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=541106>Question 541106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car drove from one city to another and returned by  different route. The outward journey was 48 km and the return journey was 8 km shorter. The speed of the car on the return journey increased by 4 km/h. The return journey took one hour less time. Find the speed of the car on the outward journey. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354058 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=354058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A car drove from one city to another and returned by different route.<BR>\n" );
document.write( " The outward journey was 48 km and the return journey was 8 km shorter.<BR>\n" );
document.write( " The speed of the car on the return journey increased by 4 km/h.<BR>\n" );
document.write( " The return journey took one hour less time.<BR>\n" );
document.write( " Find the speed of the car on the outward journey.<BR>\n" );
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document.write( "let t = time of the outward journey (48 km)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t-1) = time of the return journey  (40km)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write speed equation, speed = dist/time<BR>\n" );
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document.write( "return speed - outbound speed = 4 km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F%28%28t-1%29%29 ALIGN=MIDDLE  ALT=\"40%2F%28%28t-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Ft ALIGN=MIDDLE  ALT=\"48%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4 km<BR>\n" );
document.write( ":<BR>\n" );
document.write( "multiply by t(t-1), results:<BR>\n" );
document.write( "40t - 48(t-1) = 4t(t-1)<BR>\n" );
document.write( "40t - 48t + 48 = 4t^2 - 4t<BR>\n" );
document.write( "-8t + 48 = 4t^2 - 4t<BR>\n" );
document.write( "0 = 4t^2 - 4t + 8t - 48<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "4t^2 + 4t - 48 = 0<BR>\n" );
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document.write( "Simplify, divide by 4<BR>\n" );
document.write( "t^2 + t - 12 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "factors to:<BR>\n" );
document.write( "(t+4)(t-3) = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "t = 3 hrs travel time of the outbound journey<BR>\n" );
document.write( "Find the speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F3 ALIGN=MIDDLE  ALT=\"48%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 16 km/hr speed on the outbound journey<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this solution by finding the speed on the return journey<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F2 ALIGN=MIDDLE  ALT=\"40%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20 km/hr, a 4 km/hr difference<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );