document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384299>Question 384299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the Canada, Medicine Hat and Cranbrook are 300 km apart. Sam rides his motorcycle 20 km per hr faster that Brian rides his motorcycle. Find Sam's average speed if he travels from Cranbrook to Medicine Hat in one and one quarter of an hour less time than Brian.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272044 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=272044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In the Canada, Medicine Hat and Cranbrook are 300 km apart. Sam rides his motorcycle 20 km per hr faster that Brian rides his motorcycle. Find Sam's average speed if he travels from Cranbrook to Medicine Hat in one and one quarter of an hour less time than Brian. <BR>\n" );
document.write( "...<BR>\n" );
document.write( "Brian's speed = x mph<BR>\n" );
document.write( "Brian's time = 300/x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Sam's speed = x+20<BR>\n" );
document.write( "sam's time = 300/(x+20)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Time Brian - Time Sam = 1 1/4 = 5/4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "300/x -300/(x+20)= 5/4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "LCD + x(x+20)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-300%2Ax%2B300%2A%28x%2B20%29%29%2Fx%28x%2B20%29=5%2F4 ALIGN=MIDDLE  ALT=\"%28-300%2Ax%2B300%2A%28x%2B20%29%29%2Fx%28x%2B20%29=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28300x-300x%2B6000%29%2Fx%28x%2B20%29=5%2F4 ALIGN=MIDDLE  ALT=\"%28300x-300x%2B6000%29%2Fx%28x%2B20%29=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286000%29%2F%28x%28x%2B20%29%29=5%2F4 ALIGN=MIDDLE  ALT=\"%286000%29%2F%28x%28x%2B20%29%29=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "5x(x+20)=4*6000<BR>\n" );
document.write( "5x^2+100x=24,000<BR>\n" );
document.write( "-24,000    -24,0000<BR>\n" );
document.write( "5x^2+100x-24,000=0<BR>\n" );
document.write( "/5<BR>\n" );
document.write( "x^2+20x-4800=0<BR>\n" );
document.write( "x^2+80x-60x-4800=0<BR>\n" );
document.write( "x(x+80)-60(x+80)=0<BR>\n" );
document.write( "(x+80)(x-60)=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28x=60+mph%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28x=60+mph%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Brian's speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%2880+mph%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%2880+mph%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Sam's speed\r<BR>\n" );
document.write( "\n" );
document.write( "....<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );