document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=518179>Question 518179</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My word problem is: <BR>\n" );
document.write( "A car and a motor cycle leave a rest area at the same time, with the car traveling 8 mph faster than the motorcycle. The car then travels 105 mi in the time it takes the motorcycle to travel 93 mi. Find the speed of each vehicle.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #345084 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=345084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> d = r*t is the basic distance equation<BR>\n" );
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document.write( "Car:<BR>\n" );
document.write( "d = 105 miles<BR>\n" );
document.write( "r = speed of motorcycle +8 = s+8<BR>\n" );
document.write( "t = same as motorcycle = d/r = 105/(s+8)<BR>\n" );
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document.write( "Motorcycle:<BR>\n" );
document.write( "d = 93 miles<BR>\n" );
document.write( "r = speed of motorcycle = s<BR>\n" );
document.write( "t = same as the car = d/r = 93/s<BR>\n" );
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document.write( "t = t<BR>\n" );
document.write( "so<BR>\n" );
document.write( "105/(s+8) = 93/s<BR>\n" );
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document.write( "cross multiply<BR>\n" );
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document.write( "105*s = (s+8)*93<BR>\n" );
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document.write( "105s = 93s + 744<BR>\n" );
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document.write( "12s = 744<BR>\n" );
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document.write( "s = 62 mph = motorcyle's speed<BR>\n" );
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document.write( "s + 8 = 70 mph = car's speed <BR>\n" );
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document.write( "Check the answer:<BR>\n" );
document.write( "How long does it take the car to travel 105 miles?<BR>\n" );
document.write( "105/70 = 3/2<BR>\n" );
document.write( "How long does it take the motorcycle to travel 93 miles?<BR>\n" );
document.write( "93/62 = 3/2<BR>\n" );
document.write( "Correct.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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