document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166236>Question 166236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lerry drove 329 miles in 2 hours more then it took Terrell to drive 260 miles. Terrell drove at and average reate of 5 miles per hour faster then Larry. How fast did Larry travel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122559 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=122559\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lerry drove 329 miles in 2 hours more then it took Terrell to drive 260 miles.<BR>\n" );
document.write( " Terrell drove at an average rate of 5 miles per hour faster then Larry.<BR>\n" );
document.write( " How fast did Larry travel?<BR>\n" );
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document.write( "Let s = Larry's speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+5) = Terry's speed<BR>\n" );
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document.write( "Write a time equation: Time = dist/speed<BR>\n" );
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document.write( "L's time - 2 hr = T's time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=329%2Fs ALIGN=MIDDLE  ALT=\"329%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2F%28%28s%2B5%29%29 ALIGN=MIDDLE  ALT=\"260%2F%28%28s%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply equation by s(s+5)<BR>\n" );
document.write( "s(s+5)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=329%2Fs ALIGN=MIDDLE  ALT=\"329%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 2s(s+5) = s(s+5)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2F%28%28s%2B5%29%29 ALIGN=MIDDLE  ALT=\"260%2F%28%28s%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This eliminates the denominators and you have:<BR>\n" );
document.write( "329(s+5) -2s^2 - 10s = 260s<BR>\n" );
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document.write( "329s + 1645 - 2s^2 - 10s - 260s = 0; arrange as a quadratic on the left<BR>\n" );
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document.write( "-2s^2 + 329s - 260s - 10s + 1645 = 0<BR>\n" );
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document.write( "-2s^2 + 59s + 1645 = 0<BR>\n" );
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document.write( "Easier to factor if change the signs, mult by -1<BR>\n" );
document.write( "2s^2 - 59s - 1654<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(2s + 35)(s - 47) = 0; use the quadratic formula if you need to: <BR>\n" );
document.write( "Positive solution<BR>\n" );
document.write( "s = 47 mph is L's speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "47 + 5 = 52 mph is T's speed<BR>\n" );
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document.write( "Check solution by finding the travel time of each<BR>\n" );
document.write( "329/47 = 7 hr<BR>\n" );
document.write( "260/52 = 5 hr<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "differ = 2 hrs as given\r<BR>\n" );
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document.write( " </SPAN>\n" );
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