document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180502>Question 180502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135262 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=135262\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip<BR>\n" );
document.write( " would have taken 2 hours less. Find the speed of his vehicle<BR>\n" );
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document.write( "Let s = the speed of his vehicle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+20) = the faster speed<BR>\n" );
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document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Actual time = faster speed time + two hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2Fs ALIGN=MIDDLE  ALT=\"150%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2F%28%28s%2B20%29%29 ALIGN=MIDDLE  ALT=\"150%2F%28%28s%2B20%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2<BR>\n" );
document.write( "Multiply equation by s(s+20) to eliminate the denominators, results<BR>\n" );
document.write( "150(s+20) = 150s + 2s(s+20)<BR>\n" );
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document.write( "150s + 3000 = 150s + 2s^2 + 40s<BR>\n" );
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document.write( "0 = 150s - 150s + 2s^2 + 40s - 3000<BR>\n" );
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document.write( "A quadratic equation<BR>\n" );
document.write( "2s^2 + 40s - 3000 = 0<BR>\n" );
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document.write( "Simplify, divide by 2:<BR>\n" );
document.write( "s^2 + 20s - 1500<BR>\n" );
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document.write( "Factors to:<BR>\n" );
document.write( "(s + 50)(s - 30) = 0<BR>\n" );
document.write( "Positive solution<BR>\n" );
document.write( "s = 30 mph is his actual speed<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "Check solution by finding the times<BR>\n" );
document.write( "150/30 = 5 hrs<BR>\n" );
document.write( "150/50 = 3 hrs<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "difference 2hr \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );