document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270512>Question 270512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Thrust SSC is the world's fastest land vehicle. Suppose the driver of a car whose top speed is 200 miles per hour requests a race against the SSC. The car gets a head start of a half hour. If there is unlimited space to race, at what distance will the SSC pass the car? Thrust SSC top speed is 763.\r<BR>\n" );
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document.write( "I know that in a half hour the car would go 100 miles and Thrust SSC can go 381.5. I know 100 is a certain percent, but I just do not know the equations I need. Thanks for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198185 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=198185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Thrust SSC is the world's fastest land vehicle.<BR>\n" );
document.write( " Suppose the driver of a car whose top speed is 200 miles per hour requests a race against the SSC.<BR>\n" );
document.write( " The car gets a head start of a half hour.<BR>\n" );
document.write( " If there is unlimited space to race, at what distance will the SSC pass the car? Thrust SSC top speed is 763. <BR>\n" );
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document.write( "First find out how long it will take for SSC to catch the car<BR>\n" );
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document.write( "Let t = travel time of the SSC<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+.5) = travel time of the car<BR>\n" );
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document.write( "When this occurs they will have traveled the same dist.<BR>\n" );
document.write( "Write a distance equation; dist = speed * time<BR>\n" );
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document.write( "SSC dist - car dist<BR>\n" );
document.write( "763t = 200(t+.5)<BR>\n" );
document.write( "763t = 200t + 100<BR>\n" );
document.write( "763t - 200t = 100<BR>\n" );
document.write( "563t = 100<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F563 ALIGN=MIDDLE  ALT=\"100%2F563\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = .17762 hrs<BR>\n" );
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document.write( "How far can the SSC travel in .17762 hrs<BR>\n" );
document.write( ".17762 * 763 = 135.5 mi<BR>\n" );
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document.write( "If we did this right, the car should have traveled the same dist<BR>\n" );
document.write( "200(.17762 + .5) = 135.5 mi also </SPAN>\n" );
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