document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698780>Question 698780</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A professional cyclist travels 60km at an average speed of x km/hr<BR>\n" );
document.write( "Write down an expression in x to represent the time taken for this journey \r<BR>\n" );
document.write( "\n" );
document.write( "On the return journey the cyclist travelled at an average speed 5 km/hr slower<BR>\n" );
document.write( "Write down an expression in x to represent the time taken for this journey\r<BR>\n" );
document.write( "\n" );
document.write( "If the difference between the travelling times for both journeys was 2 hours write down an equation in terms of x to represent this and solve it to find x  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431066 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=431066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A professional cyclist travels 60km at an average speed of x km/hr<BR>\n" );
document.write( "Write down an expression in x to represent the time taken for this journey<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fx ALIGN=MIDDLE  ALT=\"60%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "On the return journey the cyclist travelled at an average speed 5 km/hr slower<BR>\n" );
document.write( "Write down an expression in x to represent the time taken for this journey<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F%28%28x-5%29%29 ALIGN=MIDDLE  ALT=\"60%2F%28%28x-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ";<BR>\n" );
document.write( "If the difference between the travelling times for both journeys was 2 hours write down an equation in terms of x to represent this and solve it to find x <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F%28%28x-5%29%29%29 ALIGN=MIDDLE  ALT=\"60%2F%28%28x-5%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fx ALIGN=MIDDLE  ALT=\"60%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "multiply x(x-5), resulting in:<BR>\n" );
document.write( "60x - 60(x-5) = 2x(x-5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "60x - 60x + 300 = 2x^2 - 10x<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "0 = 2x^2 - 10x - 300<BR>\n" );
document.write( "Simplify divide by 2<BR>\n" );
document.write( "x^2 - 5x - 150 = 0<BR>\n" );
document.write( "factors to:<BR>\n" );
document.write( "(x-15)(x+10) = 0<BR>\n" );
document.write( "the positive solution is all we want here<BR>\n" );
document.write( "x = 15 km/hr<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out find the time at each speed<BR>\n" );
document.write( "60/10 = 6 hrs<BR>\n" );
document.write( "60/15 = 4 hrs<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "dif of: 2 hrs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );