document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144782>Question 144782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105554 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=105554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle<BR>\n" );
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document.write( "Let s = speed of his vehicle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+10) = 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 - 1 hr = Faster speed time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2Fs ALIGN=MIDDLE  ALT=\"200%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F%28%28s%2B10%29%29 ALIGN=MIDDLE  ALT=\"200%2F%28%28s%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply equation by s(s+10)<BR>\n" );
document.write( "s(s+10)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2Fs ALIGN=MIDDLE  ALT=\"200%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - s(s+10)(1) = s(s+10)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F%28%28s%2B10%29%29 ALIGN=MIDDLE  ALT=\"200%2F%28%28s%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "Cancel the denominators:<BR>\n" );
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document.write( "200(s+10) - s(s+10) = 200s<BR>\n" );
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document.write( "200s + 2000 - s^2 - 10s = 200s<BR>\n" );
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document.write( "0 = s^2 + 10s + 200s - 200s - 2000<BR>\n" );
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document.write( "A quadratic equation<BR>\n" );
document.write( "s^2 + 10s - 2000 = 0<BR>\n" );
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document.write( "Factors to:<BR>\n" );
document.write( "(s+50)(s-40) = 0<BR>\n" );
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document.write( "Positive solution<BR>\n" );
document.write( "s = 40 mph<BR>\n" );
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document.write( "Check solution by finding the times:<BR>\n" );
document.write( "200/40 = 5 hrs<BR>\n" );
document.write( "200/50 = 4 hrs\r<BR>\n" );
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