document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148982>Question 1148982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average speed of a car is three times as fast as the average speed of a cyclist. To travel 225 km, the cyclist requires 5 h more than the car. Determine the average speed of the cyclist and the car.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770332 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=770332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor has shown a perfectly good method for solving the problem.<br><BR>\n" );
document.write( "Here is a completely different alternative method.<br><BR>\n" );
document.write( "This alternative is in no way any \"better\" than the other; it simply shows you that there are (nearly always) many different ways for setting up problems to be solved.<br><BR>\n" );
document.write( "If you want to be good at solving problems, you should understand how both methods are valid.<br><BR>\n" );
document.write( "The speed of the car is 3 times the speed of the cyclist.<br><BR>\n" );
document.write( "Since the distances are the same, the time required by the cyclist is 3 times the time required by the car.<br><BR>\n" );
document.write( "Let the time for the car be x; then the time for the cyclist is 3x.<br><BR>\n" );
document.write( "The difference between the times is 2x; and we know that difference is 5 hours.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=5 ALIGN=MIDDLE  ALT=\"2x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2.5 ALIGN=MIDDLE  ALT=\"x+=+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The time for the car is x=2.5 hours; the time for the cyclist is 3x = 7.5 hours.<br><BR>\n" );
document.write( "The distance is 225km; so the speed of the car is 225/2.5 = 90km/hr, and the speed of the cyclist is 225/7.5 = 30km/hr.<br><BR>\n" );
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