document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=634790>Question 634790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car travelling at a constant spped of 98km/h on a freewaty passes a sign that states that the next town is 80km away.\r<BR>\n" );
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document.write( "a) A second care passes the sign 10 minutes after the first car. If it was travelling at 105km/h, find a model for its distance from the town\r<BR>\n" );
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document.write( "b) What time did the second car pass through the town if the first car passed the sign at 12 noon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #399988 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=399988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A car traveling at a constant speed of 98km/h on a freeway passes a sign that<BR>\n" );
document.write( " states that the next town is 80km away.<BR>\n" );
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document.write( "a) A second car passes the sign 10 minutes after the first car.<BR>\n" );
document.write( " If it was traveling at 105km/h, find a model for its distance from the town<BR>\n" );
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document.write( "Find how far behind the 2nd car is behind the first when it passes the sign<BR>\n" );
document.write( "Then how far it is from the town at that time<BR>\n" );
document.write( "Convert 10 min to 1/6 hr<BR>\n" );
document.write( "105*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 17.5 km, so it is 17.5+80 = 97.5 km from the town<BR>\n" );
document.write( "let t = travel time of the 2nd car<BR>\n" );
document.write( "d(t) = 97.5 - 105t; an equation for the distance the 2nd car is from town<BR>\n" );
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document.write( "b) What time did the second car pass through the town if the first car<BR>\n" );
document.write( " passed the sign at 12 noon?<BR>\n" );
document.write( "Find the travel time of 2nd car: 97.5/105 = .92857 * 60 = 55.7 min<BR>\n" );
document.write( "Find the travel time of 1st car: 80/98 = .8889 * 60 = 53.3 min<BR>\n" );
document.write( "55.7 - 53.3 = 2.4 min<BR>\n" );
document.write( "If Car 1 arrives at noon, car 2 arrives 2.4 min after noon<BR>\n" );
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