document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84758>Question 84758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61046 by </B><A HREF=/tutors/aboutme.mpl?userid=pg2000in><B>pg2000in(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pg2000in><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=61046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know that distance = speed * time. Now Let us denote the speed by s and speed by t then<BR>\n" );
document.write( "600= s * t<BR>\n" );
document.write( "where s is in miles per hour and t is in hours<BR>\n" );
document.write( "Now Second condition says that had he gone 20mph faster, the trip would have taken 1 hour less. But the distance remains the same<BR>\n" );
document.write( "so <BR>\n" );
document.write( "in the second case:<BR>\n" );
document.write( "600=(s+20)(t-1)<BR>\n" );
document.write( "which means if we equate the two equations, we have\r<BR>\n" );
document.write( "\n" );
document.write( "st= (s+20)(t-1)<BR>\n" );
document.write( "solving:<BR>\n" );
document.write( "s= 20t -20\r<BR>\n" );
document.write( "\n" );
document.write( "substituting the value of t from the equation 600 = st in terms of s, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=+%28%2820%2A600%29%2Fs%29-20 ALIGN=MIDDLE  ALT=\"s=+%28%2820%2A600%29%2Fs%29-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which yields to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2%2B20%2As-12000=0 ALIGN=MIDDLE  ALT=\"s%5E2%2B20%2As-12000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solving by quadratic equation method and taking the positive value only, we have<BR>\n" );
document.write( "s=100 miles per hour\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );