document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214139>Question 214139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two buses leave the same city at the same time moving in opposite directions. One travels at a rate of 5 miles per hour faster then the other bus. After 3 hours they are 375 miles apart. How far did each bus travel\r<BR>\n" );
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document.write( "I think the equation I should use is D= RT but I dont get this question because I dont know the speed of both cars. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161742 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two buses leave the same city at the same time moving in opposite directions. One travels at a rate of 5 miles per hour faster then the other bus. After 3 hours they are 375 miles apart. How far did each bus travel.\r<BR>\n" );
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document.write( "Step 1.  Let x be the speed of one bus and let x+5 be the speed of the other bus.\r<BR>\n" );
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document.write( "Step 2.  Distance = speed * time\r<BR>\n" );
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document.write( "Step 3.  Distance of one bus = 3x and Distance of other bus = 3(x+5).\r<BR>\n" );
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document.write( "Step 4.  Total Distance = Distance of one bus + Distance of other bus = 375 miles\r<BR>\n" );
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document.write( "Step 5.  Combine steps 2 and 3 to get  3x+3(x+5)=375 or 6x+15=375.  Solving for x yields the following steps.\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=explain_simplification.solver>EXPLAIN simplification of an expression</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT><B>Your Result</B>: <BR><BR>\n" );
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document.write( "  YOUR ANSWER\n" );
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document.write( "<LI><B>This is an <A  rel=nofollow HREF=/algebra/homework/equations/>equation</A>!</B> Solutions: <FONT SIZE=+2><U><B>x=60</B></U></FONT>.<BR></LI>\n" );
document.write( "<LI><B>Graphical form</B>: <A  rel=nofollow HREF=/algebra/homework/equations/>Equation</A> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B15=375 ALIGN=MIDDLE  ALT=\"6x%2B15=375\"   DISABLED_style= \"max-width:90%; height:auto;\" > was fully solved.</LI><LI><B>Text form</B>: 6x+15=375 simplifies to 0=0</LI><LI><B>Cartoon (animation) form</B>: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=simplify_cartoon%28+6x%2B15=375+%29 ALIGN=MIDDLE  ALT=\"simplify_cartoon%28+6x%2B15=375+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR> For tutors: <CODE>simplify_cartoon( 6x+15=375 )</CODE></LI>\n" );
document.write( "<LI>If you have a website, here's a <A rel=nofollow  rel=nofollow HREF=/services/rendering/simplifier.mpl?expression=6x%2B15=375>link</A> to this solution. </LI>\n" );
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document.write( "<H3  DISABLED_style= \"background-color: #88ccDD; font-weight: bold; margin-top: 0px; margin-bottom: 3px; text-align: center; padding: 2px;\">DETAILED EXPLANATION</H3>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ax%2B15=highlight_red%28+375+%29 ALIGN=MIDDLE  ALT=\"6%2Ax%2B15=highlight_red%28+375+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Moved these terms to the left <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+-375+%29 ALIGN=MIDDLE  ALT=\"highlight_green%28+-375+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ax%2B15-highlight_green%28+375+%29=0& border=1  ALIGN=MIDDLE  ALT=\"6%2Ax%2B15-highlight_green%28+375+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ax%2Bhighlight_red%28+15+%29-highlight_red%28+375+%29=0 ALIGN=MIDDLE  ALT=\"6%2Ax%2Bhighlight_red%28+15+%29-highlight_red%28+375+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Added fractions or integers together <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ax%2Bhighlight_green%28+-360+%29=0& border=1  ALIGN=MIDDLE  ALT=\"6%2Ax%2Bhighlight_green%28+-360+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ax%2Bhighlight_red%28+-360+%29=0 ALIGN=MIDDLE  ALT=\"6%2Ax%2Bhighlight_red%28+-360+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Removed extra sign in front of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-360 ALIGN=MIDDLE  ALT=\"-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ax-highlight_green%28+360+%29=0& border=1  ALIGN=MIDDLE  ALT=\"6%2Ax-highlight_green%28+360+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+6%2Ax-360+%29=0 ALIGN=MIDDLE  ALT=\"highlight_red%28+6%2Ax-360+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Solved <A  rel=nofollow HREF=/algebra/homework/Linear-equations/>linear equation</A> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+6%2Ax-360=0+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+6%2Ax-360=0+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equivalent to  6*x-360  =0 <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+0+%29=0& border=1  ALIGN=MIDDLE  ALT=\"highlight_green%28+0+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR><B>Result</B>: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0& border=2 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<B>This is an <A  rel=nofollow HREF=/algebra/homework/equations/>equation</A>!</B> Solutions: <FONT SIZE=+2><U><B>x=60</B></U></FONT>.<BR><BR><H3  DISABLED_style= \"background-color: #88ccDD; font-weight: bold; margin-top: 0px; margin-bottom: 3px; text-align: center; padding: 2px;\">Universal Simplifier and Solver</H3>\n" );
document.write( "<BR>Done!<BR></TD></TR></TABLE><BR>\n" );
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document.write( "Step 6.  Based on the above results when x=60, then distance traveled by one bus is 3x=180  miles and the other bus traveled 3(x+5)=195  miles.   Adding the two distances yield that they are 375 miles part.\r<BR>\n" );
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document.write( "Step 7.  ANSWER:  One bus traveled 180 miles and the other traveled 195 miles.\r<BR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J<BR>\n" );
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