document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72971>Question 72971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> THE TIME IT TAKES A CAR TO TRAVEL A FIXED DISTANCE VARIES INVERSELY WITH THE RATE AT WHICH IT TRAVELS. IT TAKES THE CAR 4 HOURS TO TRAVEL A FIXED DISTANCE WHEN IT TRAVELS AT A RATE OF 50 MILES PER HOUR. HOW FAST DOES THE CAR HAVE TO TRAVEL TO COVER THE SAME DISTANCE IN 2.5 HOURS?\r<BR>\n" );
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document.write( "WHOEVER ANSWERS, THANK YOU GREATLY FOR YOUR HELP!!!!!!!!!!!!!!!!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52223 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=52223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The distance equation is normally written as:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+R%2AT ALIGN=MIDDLE  ALT=\"D+=+R%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "where D stands for distance, R stands for the rate or speed, and T stands for the time.<BR>\n" );
document.write( "You use this equation lots of times.  Think, \"If I go at 50 miles per hour (rate) and I <BR>\n" );
document.write( "drive for 3 hours (time), how far do I travel?\" You do this in your head ... 50 miles every <BR>\n" );
document.write( "hour then in 3 hours you go 150 miles.<BR>\n" );
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document.write( "In this problem we are going to be using this equation to calculate the rate. Think,  \"If I <BR>\n" );
document.write( "go 150 miles and I drive for 3 hours, how many miles per hour did I go?\"  This time you can see that <BR>\n" );
document.write( "to go 150 miles in 3 hours you have to average 50 miles per hour as your rate. That's pretty<BR>\n" );
document.write( "basically what we are going to be doing.<BR>\n" );
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document.write( "Now back to the problem.  The first part of the problem tells you that you drive at 50 mph<BR>\n" );
document.write( "for 4 hours.  How far did you go?<BR>\n" );
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document.write( "Use the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+R%2AT ALIGN=MIDDLE  ALT=\"D+=+R%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute 50 for R and 4 for T to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+50%2A4+=+200 ALIGN=MIDDLE  ALT=\"D+=+50%2A4+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles.<BR>\n" );
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document.write( "So the distance you want to travel is 200 miles.<BR>\n" );
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document.write( "Now the problem asks you how fast you have to go (rate) if you want to cover the same distance<BR>\n" );
document.write( "in 2.5 hours.<BR>\n" );
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document.write( "Return to the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+R%2AT ALIGN=MIDDLE  ALT=\"D+=+R%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute 200 miles for D and 2.5 hours for T to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200+=+R+%2A+2.5 ALIGN=MIDDLE  ALT=\"200+=+R+%2A+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can find R by dividing both sides by 2.5 and when you do you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F2.5+=+R+%2A+2.5%2F2.5 ALIGN=MIDDLE  ALT=\"200%2F2.5+=+R+%2A+2.5%2F2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F2.5+=+R%2Across%282.5%29%2Fcross%282.5%29+=+R ALIGN=MIDDLE  ALT=\"200%2F2.5+=+R%2Across%282.5%29%2Fcross%282.5%29+=+R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can divide 2.5 into 200 and find that the answer is 80.  So the final answer is that<BR>\n" );
document.write( "to go 200 miles in 2.5 hours you have to travel at a rate of 80 miles per hour.<BR>\n" );
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document.write( "Too fast for safety and wastes gas.  <BR>\n" );
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document.write( "Hope this discussion helps you to understand the problem a little more.  <BR>\n" );
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