document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937638>Question 937638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> amber and Matteo are travelling separately from their home Calgary to a wedding 400km away.  amber leaves 1h earlier than matteo, but matteo drives at and average  20km/h faster than amber.  If they arrive at the wedding at the exact same time what was their average speed at which each of them traveled?<BR>\n" );
document.write( " a)let x represent the time it takes amber to travel to the wedding, write an expression for the average speed that each person travels.<BR>\n" );
document.write( "B) write and solve an equation that represents the difference in their average speeds <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571052 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=571052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Amber and Matteo are travelling separately from their home Calgary to a wedding 400km away. Amber leaves 1h earlier than matteo, but matteo drives at and average 20km/h faster than amber. If they arrive at the wedding at the exact same time what was their average speed at which each of them traveled?<BR>\n" );
document.write( " a)let x represent the time it takes amber to travel to the wedding, write an expression for the average speed that each person travels.<BR>\n" );
document.write( "Amber DATA:<BR>\n" );
document.write( "dist = 400 km ; time = x hrs ; rate = 400/x kph<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Matteo DATA:<BR>\n" );
document.write( "dist = 400 km ; time = x-1 hrs ; rate = 400/(x-1) kph<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( " B) write and solve an equation that represents the difference in their average speeds<BR>\n" );
document.write( "Mrate - Arate = 20 kph<BR>\n" );
document.write( "400/(x-1) - 400/x = 20 kph<BR>\n" );
document.write( "------<BR>\n" );
document.write( "400x - 400(x-1) = 20x(x-1)<BR>\n" );
document.write( "400 = 20x(x-1)<BR>\n" );
document.write( "20 = x(x-1)<BR>\n" );
document.write( "x^2-x-20 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-5)(x+4) = 0<BR>\n" );
document.write( "Positive solution::<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "x = 5 hrs (time for Amber)<BR>\n" );
document.write( "x-1 = 4 hrs (time for Matteo)<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );