document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166370>Question 166370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A race car traveling at full speed takes 8 minutes longer to travel 50 miles than to travel 30 miles. What is the race car's full speed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122628 by </B><A HREF=/tutors/aboutme.mpl?userid=MRperkins><B>MRperkins(300)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MRperkins><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=MRperkins><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122628\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> miles per hour(speed)=distance/time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fh=d%2Ft ALIGN=MIDDLE  ALT=\"m%2Fh=d%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "equation 1 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fh=%2830miles%29%2F%28%28t%29hours%29 ALIGN=MIDDLE  ALT=\"m%2Fh=%2830miles%29%2F%28%28t%29hours%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "equation 2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fh=%2850miles%29%2F%28%28t%29hours%2B8%28minutes%29%29 ALIGN=MIDDLE  ALT=\"m%2Fh=%2850miles%29%2F%28%28t%29hours%2B8%28minutes%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "set the equations = to each other<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830miles%29%2F%28%28t%29hours%29=%2850miles%29%2F%28%28t%29hours%2B8%28minutes%29%29 ALIGN=MIDDLE  ALT=\"%2830miles%29%2F%28%28t%29hours%29=%2850miles%29%2F%28%28t%29hours%2B8%28minutes%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "convert the 8 minutes to hours.  8(minutes)=8/60 hours which reduces to 2/15 hours.<BR>\n" );
document.write( "so now you have the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830miles%29%2F%28%28t%29hours%29=%2850miles%29%2F%28%28t%2B2%2F15%29hours%29 ALIGN=MIDDLE  ALT=\"%2830miles%29%2F%28%28t%29hours%29=%2850miles%29%2F%28%28t%2B2%2F15%29hours%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for t:<BR>\n" );
document.write( "cross multiply and get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%28t%2B2%2F15%29=50%28t%29 ALIGN=MIDDLE  ALT=\"30%28t%2B2%2F15%29=50%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30t%2B60%2F15=50t ALIGN=MIDDLE  ALT=\"30t%2B60%2F15=50t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract 30t from each side<BR>\n" );
document.write( "60/15=20t<BR>\n" );
document.write( "multiply each side by 15<BR>\n" );
document.write( "60=300t<BR>\n" );
document.write( "divide each side by 300<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5=t ALIGN=MIDDLE  ALT=\"1%2F5=t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "we remember that t=time in hours and we are trying to find speed. so we plug t into either speed formula to find our speed.  <BR>\n" );
document.write( "First formula:  equation 1 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fh=%2830miles%29%2F%28%281%2F5%29hours%29 ALIGN=MIDDLE  ALT=\"m%2Fh=%2830miles%29%2F%28%281%2F5%29hours%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Second formula: equation 2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fh=%2850miles%29%2F%28%281%2F5%29hours%2B%282%2F15%29%28hours%29%29 ALIGN=MIDDLE  ALT=\"m%2Fh=%2850miles%29%2F%28%281%2F5%29hours%2B%282%2F15%29%28hours%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer:  Top speed is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150 ALIGN=MIDDLE  ALT=\"150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=miles ALIGN=MIDDLE  ALT=\"miles\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hour ALIGN=MIDDLE  ALT=\"hour\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );