document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=655239>Question 655239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> By increasing her usual speed by 25 kilometers per hour, a bus driver decreases the time on a 25-kilometer trip by 5 minutes. Find the usual speed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #409008 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=409008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By increasing her usual speed by 25 kilometers per hour, a bus driver decreases the time on a 25-kilometer trip by 5 minutes. Find the usual speed.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=usual speed<BR>\n" );
document.write( "(x+25)=increased speed<BR>\n" );
document.write( "travel time=distance/speed<BR>\n" );
document.write( "5 min=5/60 hr=1/12 hr<BR>\n" );
document.write( "..<BR>\n" );
document.write( "25/x-25/(x+25)=5 min=1/12hr<BR>\n" );
document.write( "LCD:x(x+25)<BR>\n" );
document.write( "25(x+25)-25x=x(x+25)/12<BR>\n" );
document.write( "25x+625-25x=(x^2+25x)/12<BR>\n" );
document.write( "12*625=x^2+25x<BR>\n" );
document.write( "7500=x^2+25x<BR>\n" );
document.write( "x^2+25x-7500=0<BR>\n" );
document.write( "(x+100)(x-75)=0<BR>\n" );
document.write( "x=-100(reject)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=75<BR>\n" );
document.write( "usual speed of bus=75 mph </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );