document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=957405>Question 957405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alan cycles everyday from home to school and back. The school is 6km from his home. He cycles at an average speed of x km/h in his outward journey from home to school. On his return journey from school to home he cycles 3 km/h faster.<BR>\n" );
document.write( "1.Find in terms of x the time in hours taken for the outward journey.<BR>\n" );
document.write( "2.Find in terms of x the time in hours taken for the return journey.<BR>\n" );
document.write( "3.If the return journey takes 20 minutes less than then outward journey,use the result an obtained in part i and ii to show that x^2+3x-54=0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585017 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=585017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+6+ ALIGN=MIDDLE  ALT=\"+d+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate in km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+x%2At+ ALIGN=MIDDLE  ALT=\"+d+=+x%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+x%2At+ ALIGN=MIDDLE  ALT=\"+6+=+x%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+6%2Fx+ ALIGN=MIDDLE  ALT=\"+t+=+6%2Fx+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "(2) <BR>\n" );
document.write( "Return journey:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+6+ ALIGN=MIDDLE  ALT=\"+d+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+3+ ALIGN=MIDDLE  ALT=\"+x+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate in km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+%28+x+%2B+3+%29%2At+ ALIGN=MIDDLE  ALT=\"+6+=+%28+x+%2B+3+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+6%2F%28+x+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+t+=+6%2F%28+x+%2B+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "You are given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2F%28+x%2B3+%29+=+6%2Fx+-+20%2F60+ ALIGN=MIDDLE  ALT=\"+6%2F%28+x%2B3+%29+=+6%2Fx+-+20%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( note that I converted <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+ ALIGN=MIDDLE  ALT=\"+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min to hours )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2F%28+x%2B3+%29+=+6%2Fx+-+1%2F3+ ALIGN=MIDDLE  ALT=\"+6%2F%28+x%2B3+%29+=+6%2Fx+-+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2A%28+x%2B3+%29%2A3+ ALIGN=MIDDLE  ALT=\"+x%2A%28+x%2B3+%29%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A%283x%29++=+6%2A%283%2A%28x%2B3%29%29+-+x%2A%28+x%2B3+%29+ ALIGN=MIDDLE  ALT=\"+6%2A%283x%29++=+6%2A%283%2A%28x%2B3%29%29+-+x%2A%28+x%2B3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18x+=+6%2A%28+3x+%2B+9+%29+-+x%5E2+-+3x+ ALIGN=MIDDLE  ALT=\"+18x+=+6%2A%28+3x+%2B+9+%29+-+x%5E2+-+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18x+=+18x+%2B+54+-+x%5E2+-+3x+ ALIGN=MIDDLE  ALT=\"+18x+=+18x+%2B+54+-+x%5E2+-+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18x+ ALIGN=MIDDLE  ALT=\"+18x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-x%5E2+-+3x+%2B+54+ ALIGN=MIDDLE  ALT=\"+0+=+-x%5E2+-+3x+%2B+54+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+ ALIGN=MIDDLE  ALT=\"+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+3x+-+54+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+3x+-+54+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );