document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830844>Question 830844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An automobile travels 280 km at a certain speed. If the speed had been 5km/h faster, the trip would've been made in one hours less time. Find the original speed of the automobile. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500940 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=500940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An automobile travels 280 km at a certain speed. If the speed had been 5km/h faster, the trip would've been made in one hours less time. Find the original speed of the automobile.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let x=original speed of auto<BR>\n" );
document.write( "x+5=speed of auto resulting in one hour less travel time<BR>\n" );
document.write( "travel time=distance/speed<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=280%2Fx-280%2F%28x%2B5%29=1 ALIGN=MIDDLE  ALT=\"280%2Fx-280%2F%28x%2B5%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "280x+1400-280x=x(x+5)<BR>\n" );
document.write( "1400=x^2+5x<BR>\n" );
document.write( "x^2+5x-1400=0<BR>\n" );
document.write( "(x+40)(x-35)=0<BR>\n" );
document.write( "x=-40 (reject, x>0)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=35<BR>\n" );
document.write( "original speed of the automobile=35 km/hr<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );