document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190421>Question 1190421</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Vehicle A travels at x miles per hour for x hours. Vehicle B travels a miles per hour faster than Vehicle A, and travels b hours longer than Vehicle A. Vehicle B travels how much faster than Vehicle A, in miles?<BR>\n" );
document.write( "A) x^2-ab<BR>\n" );
document.write( "B) a^2+b^2<BR>\n" );
document.write( "C) ax+ax+ab<BR>\n" );
document.write( "D) x^2+abx+ab<BR>\n" );
document.write( "E) 2x^2+(a+b)x+ab </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822034 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=822034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "You already stated that <BR>\n" );
document.write( "\"Vehicle B travels a miles per hour faster than Vehicle A\"<BR>\n" );
document.write( "which means it doesn't make sense why you ask about Vehicle B's speed in your last sentence.\r<BR>\n" );
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document.write( "For the last sentence, I'm assuming that you meant to say <BR>\n" );
document.write( "\"Vehicle B travels how much <font color=red>further</font> than Vehicle A, in miles?\"\r<BR>\n" );
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document.write( "Distance = Rate*Time<BR>\n" );
document.write( "Rate = speed<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD >Vehicle</TD><TD >Distance</TD><TD >Speed</TD><TD >Time</TD></tr><tr><TD >A</TD><TD >x^2</TD><TD >x</TD><TD >x</TD></tr><tr><TD >B</TD><TD >(x+a)(x+b)</TD><TD >x+a</TD><TD >x+b</TD></tr>\n" );
document.write( "</TABLE>Vehicle B distance = rate*time<BR>\n" );
document.write( "Vehicle B distance = (x+a)(x+b) <BR>\n" );
document.write( "Vehicle B distance = x^2 + bx + ax + ab <BR>\n" );
document.write( "Vehicle B distance = x^2 + (a+b)x + ab\r<BR>\n" );
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document.write( "Subtract off Vehicle A's distance of x^2<BR>\n" );
document.write( "B - A = (x^2 + (a+b)x + ab) - (x^2)<BR>\n" );
document.write( "B - A = (a+b)x + ab<BR>\n" );
document.write( "B - A = ax + bx + ab<BR>\n" );
document.write( "This represents how much further vehicle B has traveled compared to vehicle A.<BR>\n" );
document.write( "The units are in miles.\r<BR>\n" );
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document.write( "It looks like choice C might be a match assuming there's a typo and the ax+ax should actually be ax+bx<BR>\n" );
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