document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179148>Question 1179148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the distance between London and New York is 320 Km. A train takes x hours to travel between London and New York.<BR>\n" );
document.write( "(a) Write down an expression in terms of x, for the average speed of the train 				[1]<BR>\n" );
document.write( "(b) A car takes 2 ½ hours longer than a train to travel between London and New York. The average speed of the train is 80 Km/h greater than the average speed of the car. Form an equation in x and show that it simplifies to  					<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808656 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=808656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the distance between London and New York is 320 Km. A train takes x hours to travel between London and New York.<BR>\n" );
document.write( "(a) Write down an expression in terms of x, for the average speed of the train [1]\r<BR>\n" );
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document.write( "Average speed of train = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=320%2Fx%29 ALIGN=MIDDLE  ALT=\"320%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/h\r<BR>\n" );
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document.write( "(b) A car takes 2 ½ hours longer than a train to travel between London and New York. <BR>\n" );
document.write( "Let average speed of car be x Km/h<BR>\n" );
document.write( "speed of train =x+80 Km/h\r<BR>\n" );
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document.write( "320/x - 320/(x+80) =5/2  <BR>\n" );
document.write( "(320(x+80) -320x)/(x(x+80))=5/2 <BR>\n" );
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document.write( "320(x+80) -320x = x(x+80)*(5/2)\r<BR>\n" );
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document.write( "320x +25600 -320x =(x^2+80x)*(5/2)\r<BR>\n" );
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document.write( "25600=(x^2+80x) *(5/2)\r<BR>\n" );
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document.write( "51200=5x^2+400x\r<BR>\n" );
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document.write( "5x^2+400x -256000=0\r<BR>\n" );
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document.write( "x^2+ 80x -51200=0\r<BR>\n" );
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