document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560076>Question 560076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have word problems using d=r*t.  I need help with putting the numbers and variables in the right spots to make an equation.  After I figure out how to set up the equation, then I am able to solve the equation. <BR>\n" );
document.write( "I need help setting up the equation.\r<BR>\n" );
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document.write( "Here is the story problem.\r<BR>\n" );
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document.write( "A person can drive from town A to town B at a certain rate of speed in 5 hours.  If he increases his speed by 15kph, he can make the trip in 4 hours.  How far is it from town A to town B?        I made a table below but I'm not sure if everything is in the right spots.\r<BR>\n" );
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document.write( "          Time   *   Speed   =   Distance<BR>\n" );
document.write( "Town A               S            D\r<BR>\n" );
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document.write( "Town B    5          15            D\r<BR>\n" );
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document.write( "Length    4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363653 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20054)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=363653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have word problems using d=r*t.  I need help with putting the numbers and variables in the right spots to make an equation.  After I figure out how to set up the equation, then I am able to solve the equation. <BR>\n" );
document.write( "I need help setting up the equation.\r<BR>\n" );
document.write( "\n" );
document.write( "Here is the story problem.\r<BR>\n" );
document.write( "\n" );
document.write( "A person can drive from town A to town B at a certain rate of speed in 5 hours.  If he increases his speed by 15kph, he can make the trip in 4 hours.  How far is it from town A to town B?        I made a table below but I'm not sure if everything is in the right spots.<BR>\n" );
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document.write( "We are dealing with the two trips, (not \"the two towns\").  \r\n" );
document.write( "One trip is at a slower speed and the other is at a faster speed.\r\n" );
document.write( "Here is the chart you want to make:\r\n" );
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document.write( "                   Time   *   Speed   =   Distance\r\n" );
document.write( "At slower speed              \r\n" );
document.write( "At faster speed      \r\n" );
document.write( "</PRE><BR>\n" );
document.write( ">>...A person can drive from town A to town B at a certain rate of speed in 5 hours...<< <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "We let the first (slower) speed be S\r\n" );
document.write( "We let the distance be D\r\n" );
document.write( "We are given that the time is 5 hours, so we fill in the first line:\r\n" );
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document.write( "                   Time   *   Speed   =   Distance\r\n" );
document.write( "At slower speed      5          S            D        \r\n" );
document.write( "At faster speed     \r\n" );
document.write( "</PRE><BR>\n" );
document.write( ">>...If he increases his speed by 15kph, he can make the trip in 4 hours...<<<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "To get the faster speed we add 15 kph to S, and that is S+15\r\n" );
document.write( "The distance is the same, so it is still D\r\n" );
document.write( "We are given that the time is 4, so we fill in the second line:\r\n" );
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document.write( "                   Time   *   Speed   =   Distance\r\n" );
document.write( "At slower speed      5          S            D        \r\n" );
document.write( "At faster speed      4         S+15   =      D\r\n" );
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document.write( "That gives us two equations in D and S:\r\n" );
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document.write( "                        5S = D\r\n" );
document.write( "                   4(S+15) = D\r\n" );
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document.write( "Since both equal to D, they are equal to each other:\r\n" );
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document.write( "                        5S = 4(S+15)\r\n" );
document.write( "                        5S = 4S + 60\r\n" );
document.write( "                         S = 60\r\n" );
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document.write( "So his slower speed is 60 kph (and his faster speed is 15kph faster or 75kph)  \r\n" );
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document.write( "To find the distance we substitute 60 for S in  5S = D\r\n" );
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document.write( "                        5S = D\r\n" );
document.write( "                     5(60) = D\r\n" );
document.write( "                       300 = D                                    \r\n" );
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document.write( "Therefore the distance is 300 kilometers.\r\n" );
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document.write( "Edwin</PRE> </SPAN>\n" );
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