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 #822038 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe you are looking for the number of miles that vehicle A traveled more than the number of miles that vehicle B traveled.\r<BR>\n" );
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document.write( "if thwt's what you wanted, then:\r<BR>\n" );
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document.write( "vehicle a traveled x miles per hour for x hours = x^2.<BR>\n" );
document.write( "vehicle b traveled (x + a) miles per hour for (x + b) hours = (x + a) * (x + b).\r<BR>\n" );
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document.write( "since rate * time = distance, then simplify both equation to get:\r<BR>\n" );
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document.write( "vehicle A traveled x^2 miles.<BR>\n" );
document.write( "vehicle B traveled x^2 + bx + ax + ab miles.\r<BR>\n" );
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document.write( "to see how much farther vehicle B traveled than vehicle A, subtract vehicle A miles from vehiclle A miles to get:\r<BR>\n" );
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document.write( "x^2 + bx + ax + ab minus x^2 = bx + ax + ab.\r<BR>\n" );
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document.write( "vehicle B traveled ax + bx + ab miles further than vehicle A.\r<BR>\n" );
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document.write( "that is not one of your selections, but selection C looks suspiciously like it could be the answer, if only one of the ax in that selection was a bx.\r<BR>\n" );
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document.write( "none of the other selections are even close.\r<BR>\n" );
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document.write( "i tested out my answer by letting x = 8 and a = 1 and b = 2\r<BR>\n" );
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document.write( "i got:\r<BR>\n" );
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document.write( "vehicle A traveled for 8^2 = 64 miles.<BR>\n" );
document.write( "vehicle B traveled for (8 + 1) * (8 + 2) = 9 * 10 = 90 miles.<BR>\n" );
document.write( "the difference in miles was 26 miles.<BR>\n" );
document.write( "ax + bx + ab = 1*8 + 2*8 + 2 = 8 + 16 + 2 = 26 miles.\r<BR>\n" );
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document.write( "the formula works with ax + bx + ab difference in miles.<BR>\n" );
document.write( "that's why i think selection C is mistyped and should be ax + bx + ab rather than ax + ax + ab.\r<BR>\n" );
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document.write( "that's my opinion, of course.<BR>\n" );
document.write( "check your problem out again and see if that might be right.<BR>\n" );
document.write( "let me know if that's it, or thaere's some other answer being looked for.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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