document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352564>Question 352564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bus travelled 150 miles at a certain speed. If the bus went 10 miles faster, travel time will be decreased by 30 minutes. What is the speed of the bus? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251946 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16949)</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=251946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let speed of bus be x mph<BR>\n" );
document.write( "if it travels 10 mph faster then its speed = x+10 mph.<BR>\n" );
document.write( "distance = 150 miles.<BR>\n" );
document.write( "time taken with original speed - time taken with increased speed = 1/2 hour<BR>\n" );
document.write( "...<BR>\n" );
document.write( "time = distance /speed<BR>\n" );
document.write( "150/x - 150/(x+10)= 1/2<BR>\n" );
document.write( "LCM = x(x+10)<BR>\n" );
document.write( "150(x+10)-150x/x(x+10) = 1/2<BR>\n" );
document.write( "150x+1500 -150x = x(x+10) / 2<BR>\n" );
document.write( "1500 *2 = x^2 +10x<BR>\n" );
document.write( "x^2+10x-3000 =0<BR>\n" );
document.write( "x^2+60x-50x-3000=0<BR>\n" );
document.write( "x(x+60)-50(x+60)=0<BR>\n" );
document.write( "(x+60)(x-50)=0<BR>\n" );
document.write( "x=50 mph the original speed.\r<BR>\n" );
document.write( "\n" );
document.write( ",,,<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );