document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=788059>Question 788059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A truck passes a highway patrol station going 70 km/hr. When the truck is 10 kilometers past the station, a patrol car starts after it going 100 km/hr. Let t be the number of hours the patrol car has been going.<BR>\n" );
document.write( "a) What expression represents the patrol car's distance from the station? What expression represents the trucks distanxe from the station after t hours?<BR>\n" );
document.write( "b) When does the patrol car catch the truck?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478398 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=478398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of hours the patrol car has been going.<BR>\n" );
document.write( "a) What expression represents the patrol car's distance from the station?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2At=100t ALIGN=MIDDLE  ALT=\"100%2At=100t\"   DISABLED_style= \"max-width:90%; height:auto;\" >= patrol car's distance from the station, in km.<BR>\n" );
document.write( "What expression represents the truck's distance from the station after t hours?<BR>\n" );
document.write( "The truck was 10 km past the station at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0 ALIGN=MIDDLE  ALT=\"t=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (when the patrol car started the chase), so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B70%2At=70t%2B10 ALIGN=MIDDLE  ALT=\"10%2B70%2At=70t%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >= truck's distance from the station t hours after the patrol car starts chasing it.<BR>\n" );
document.write( "b) When does the patrol car catch the truck?<BR>\n" );
document.write( "When they at at the same distance from the station, the solution to the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100t=70t%2B10 ALIGN=MIDDLE  ALT=\"100t=70t%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100t=70t%2B10 ALIGN=MIDDLE  ALT=\"100t=70t%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100t-70t=70t%2B10-70t ALIGN=MIDDLE  ALT=\"100t-70t=70t%2B10-70t\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100-70%29t=10 ALIGN=MIDDLE  ALT=\"%28100-70%29t=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30t=10 ALIGN=MIDDLE  ALT=\"30t=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=10%2F30 ALIGN=MIDDLE  ALT=\"t=10%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=1%2F3 ALIGN=MIDDLE  ALT=\"t=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The patrol car catches the truck after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of an hour, which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%2A%2860minutes%29=20minutes ALIGN=MIDDLE  ALT=\"%281%2F3%29%2A%2860minutes%29=20minutes\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "PS_ What I do not understand is why the patrol car was chasing the truck. 70 km/h is only about 45 miles per hour, and that is not too fast for a highway. </SPAN>\n" );
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