document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198446>Question 198446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man traveling 40 miles finds that by traveling one more mile per \r<BR>\n" );
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document.write( "hour he would make a journey in 2 hours less time. How many miles \r<BR>\n" );
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document.write( "per hour did he actually travel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148962 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=148962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man traveling 40 miles finds that by traveling one more mile per<BR>\n" );
document.write( "hour he would make a journey in 2 hours less time.<BR>\n" );
document.write( " How many miles per hour did he actually travel?<BR>\n" );
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document.write( "Let s = mph he actually traveled<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 time = 2 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fs ALIGN=MIDDLE  ALT=\"40%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F%28%28s%2B1%29%29 ALIGN=MIDDLE  ALT=\"40%2F%28%28s%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "Multiply each term by s(s+1); results:<BR>\n" );
document.write( "40(s+1) - 40s = 2s(s+1)<BR>\n" );
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document.write( "40s + 40 - 40s = 2s^2 + 2s<BR>\n" );
document.write( "Arrange as a quadratic equation, (40s's cancel)<BR>\n" );
document.write( "2s^2 + 2s - 40 = 0<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "s^2 + s - 20 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(s-4)(s+5) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "s = 4 mph, actual speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5 mph is the faster speed<BR>\n" );
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document.write( "Check solution find the times<BR>\n" );
document.write( "40/4 = 10 hrs<BR>\n" );
document.write( "40/5 =  8 hrs </SPAN>\n" );
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