document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173668>Question 173668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a moving van leaves a house traveling at an average rate of 35 mi/h. the family leaves the house 3/4 hour later following the same route in a car. they travel at an average rate of 50 mi/h.<BR>\n" );
document.write( "a.define a variable for the time traveled by the moving van.<BR>\n" );
document.write( "b.write an expression for the time traveled by the car.<BR>\n" );
document.write( "c. copy and complete the table.\r<BR>\n" );
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document.write( "vehicle               rate                   time          distance traveled\r<BR>\n" );
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document.write( "moving van              x                      x                  x\r<BR>\n" );
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document.write( "car                     x                       x                  x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128543 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=128543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) call the time traveled by the van t<BR>\n" );
document.write( "b.) time traveled by car call <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > which equals t-3/4<BR>\n" );
document.write( "c)<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( "........rate........time.......distance<BR>\n" );
document.write( "van......35...........t.........35t<BR>\n" );
document.write( "car......50..........t-3/4......50t-75/2<BR>\n" );
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document.write( "so for<BR>\n" );
document.write( ".................................van mi...........car mi<BR>\n" );
document.write( "D(t)=D(1/2)............35/2.........0(they hadnt started driving yet)<BR>\n" );
document.write( ".....D(1)......................35...........25/2<BR>\n" );
document.write( ".....D(3/2).................105/2..........75/2<BR>\n" );
document.write( ".....D(2).....................70..............125/2<BR>\n" );
document.write( ".....D<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%285%2F2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%285%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.............175/2.......175/2(at this point they are at the same spot)<BR>\n" );
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document.write( "if you were doing this by formulas<BR>\n" );
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document.write( "D=35t and D=50t-75/2...since the Distances are equal when the car catches up, this allows us to  set the equations equal to one another.<BR>\n" );
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document.write( "35t=50t-75/2..multiply each term by 2<BR>\n" );
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document.write( "70t=100t-75<BR>\n" );
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document.write( "-30t=-75<BR>\n" );
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document.write( "t=-75/-30=75/30=25/10=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%285%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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