document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985002>Question 985002</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An automobile can travel 200 kilometers in the same time that a truck can travel 150 kilometers. If an automobile travels at a speed of 15 kph faster than the truck, what is the speed of the automobile?<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 #605858 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39616)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=605858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <i>An automobile can travel D kilometers in the same time t that a truck can travel d kilometers.<BR>\n" );
document.write( "If an automobile travels at a speed of p kph faster than the truck,<BR>\n" );
document.write( "what is the speed of the automobile?</i>\r<BR>\n" );
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document.write( "R, car speed<BR>\n" );
document.write( "r, truck speed<BR>\n" );
document.write( "R=r+p\r<BR>\n" );
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document.write( "VARIABLES ASSIGNED<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28D=200%2Cd=150%2Cp=15%29 ALIGN=MIDDLE  ALT=\"system%28D=200%2Cd=150%2Cp=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "VARIABLES UNKNOWN<BR>\n" );
document.write( "t, time of each vehicle<BR>\n" );
document.write( "R and r\r<BR>\n" );
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document.write( "         speed   time    distance\r\n" );
document.write( "CAR       r+p       t       D\r\n" );
document.write( "TRUCK     r         t       d\r\n" );
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document.write( "The question means, what is R?\r<BR>\n" );
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document.write( "The tabulated data gives this system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28%28r%2Bp%29%2At=D%2Crt=d%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28%28r%2Bp%29%2At=D%2Crt=d%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the system for r and t.  This will require a few algebraic steps.  Use the value result<BR>\n" );
document.write( "of r to evaluate R.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rt%2Bpt=D ALIGN=MIDDLE  ALT=\"rt%2Bpt=D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Bpt=D ALIGN=MIDDLE  ALT=\"d%2Bpt=D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pt=D-d ALIGN=MIDDLE  ALT=\"pt=D-d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%28D-d%29%2Fp ALIGN=MIDDLE  ALT=\"t=%28D-d%29%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute for t in either equation, the \"d\" equation being arbitrary choice here.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%28%28D-d%29%2Fp%29=d ALIGN=MIDDLE  ALT=\"r%28%28D-d%29%2Fp%29=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=dp%2F%28D-d%29%29 ALIGN=MIDDLE  ALT=\"highlight%28r=dp%2F%28D-d%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------substitute the values given and evaluate r, and then use this<BR>\n" );
document.write( "to evaluate R.<BR>\n" );
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