document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257915>Question 257915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Scenario:<BR>\n" );
document.write( "You need to make a round trip from Dallas to Ft. Worth (total distance 60 miles), and you want to average 60 miles an hour for your trip.\r<BR>\n" );
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document.write( "Problem:<BR>\n" );
document.write( "Traffic is heavy on the Dallas to Ft. Worth leg of your trip and you are only able to average 30 miles per hour<BR>\n" );
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document.write( "How fast must you travel on the return leg in order to average 60 miles an hour for the entire trip?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189779 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=189779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> round trip distance is 60 miles.\r<BR>\n" );
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document.write( "rate * time = distance\r<BR>\n" );
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document.write( "to travel 60 miles at 60 miles per hour, you have to take 1 hour for the round trip.\r<BR>\n" );
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document.write( "this would make the formula:\r<BR>\n" );
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document.write( "60 * 1 = 60 which would be true.\r<BR>\n" );
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document.write( "the total time it should take would be 1 hour.\r<BR>\n" );
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document.write( "you traveled the first leg at 30 miles per hour.\r<BR>\n" );
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document.write( "this means that the formula of rate * time = distance for the first leg becomes:\r<BR>\n" );
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document.write( "30 * x = 30.\r<BR>\n" );
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document.write( "this means that it took 1 hour to travel 30 miles.\r<BR>\n" );
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document.write( "this means that you will never be able to average 60 miles per hour for the round trip.\r<BR>\n" );
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document.write( "example:\r<BR>\n" );
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document.write( "you traveled 30 miles per hour for the first part of the trip.\r<BR>\n" );
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document.write( "that took you 1 hour.\r<BR>\n" );
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document.write( "you travel 3000 miles per hour for the return trip.\r<BR>\n" );
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document.write( "since rate * time = distance, then the formula becomes:\r<BR>\n" );
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document.write( "3000 * x = 30\r<BR>\n" );
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document.write( "x = 30/3000 = 3/300 = .01 hours\r<BR>\n" );
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document.write( "total time it takes is 1.01 hours.\r<BR>\n" );
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document.write( "that's 1 hour for the going leg and .01 hours for the return leg.\r<BR>\n" );
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document.write( "average rate for the round trip is based on the formula of rate * time = distance:\r<BR>\n" );
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document.write( "x * 1.01 = 60\r<BR>\n" );
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document.write( "rate you traveled is 60/1.01 = 59.40594059 miles per hour.\r<BR>\n" );
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document.write( "you can approach 60 miles per hour overall but you will never quite make it because your divisor will always be a very small amount greater than 1.\r<BR>\n" );
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document.write( "this means that your numerator will always be a very small amount less than 60.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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