document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94481>Question 94481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Monorail car traves 100 miles in 50 minutes less time than it takes and automobile to travel the same distance. Find the speeds of the two vehicles if the monorail goes 20 mph faster than the automobiles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68818 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=68818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Monorail car travels 100 miles, in 50 minutes less time than it takes and automobile to travel the same distance. Find the speeds of the two vehicles if the monorail goes 20 mph faster than the automobiles.<BR>\n" );
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document.write( "Let s = speed of the auto<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(s+20) = speed of the monorail<BR>\n" );
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document.write( "Change 50 min to hr:  50/60 = 5/6 hr<BR>\n" );
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document.write( "Write a time equation, time = dist/speed<BR>\n" );
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document.write( "Auto time - mono time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fs ALIGN=MIDDLE  ALT=\"100%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F%28%28s%2B20%29%29 ALIGN=MIDDLE  ALT=\"100%2F%28%28s%2B20%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Get rid of the denominators, multiply equation by 6s(s+20)<BR>\n" );
document.write( "6(s+20)(100) - 6s(100) = s(s+20)(5)<BR>\n" );
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document.write( "(6s + 120)(100) - 600s = 5(s^2+ 20s)<BR>\n" );
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document.write( "600s + 12000 - 600s = 5s^2 + 100s<BR>\n" );
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document.write( "0 = 5s^2 + 100s - 12000<BR>\n" );
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document.write( "Simplify the quadratic equation, divide by 5<BR>\n" );
document.write( "s^2 + 20s - 2400 = 0<BR>\n" );
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document.write( "Factors to:<BR>\n" );
document.write( "(s + 60)(s - 40) = 0<BR>\n" );
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document.write( "s = +40; it's the positive solution we want here<BR>\n" );
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document.write( "Auto speed: 40 mph, monorail speed: 60 mph<BR>\n" );
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document.write( "Check our solutions<BR>\n" );
document.write( "100/40 - 100/60 =<BR>\n" );
document.write( "2.5 - 1.667 = .8333 which is 5/6<BR>\n" );
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document.write( "Did this help you? </SPAN>\n" );
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