document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=370418>Question 370418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars each travel 75 miles at a constant rate. one car travels 6 mph faster than the other and arrives 5 minutes before the other arrives. Find the rates of speed of the two cars.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264144 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=264144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cars each travel 75 miles at a constant rate.<BR>\n" );
document.write( " one car travels 6 mph faster than the other and arrives 5 minutes before the other arrives.<BR>\n" );
document.write( " Find the rates of speed of the two cars.<BR>\n" );
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document.write( "Let s = speed of the slower car<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+6) = speed of the faster car<BR>\n" );
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document.write( "Convert 5 min to hrs 5/60 = 1/12 hr<BR>\n" );
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document.write( "Write a time equation: Time = dist/speed<BR>\n" );
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document.write( "Slow car time - faster car time = 5 min (1/12 hr)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2Fs ALIGN=MIDDLE  ALT=\"75%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2F%28%28s%2B6%29%29 ALIGN=MIDDLE  ALT=\"75%2F%28%28s%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply by 12s(s+6) to get rid of the denominators, results:<BR>\n" );
document.write( "12(s+6)*75 - 12s(75) = s(s+6)<BR>\n" );
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document.write( "900(s+6) - 900s = s^2 + 6s<BR>\n" );
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document.write( "900s + 5400  - 900s = s^2 + 6s<BR>\n" );
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document.write( "5400 = s^2 + 6s<BR>\n" );
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document.write( "A quadratic equation<BR>\n" );
document.write( "0 = s^2 + 6s - 5400<BR>\n" );
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document.write( "Use the quadratic formula to find s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-6+%2B-+sqrt%286%5E2-4%2A1%2A-5400+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"s+=+%28-6+%2B-+sqrt%286%5E2-4%2A1%2A-5400+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "do the math, you should get a positive solution s ~ 70.546 mph\r<BR>\n" );
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