document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140729>Question 140729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a pickup can travel 300 miles in the same time that a car going 10 miles per hour faster can travel 350 miles. How fast is the car traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102422 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> distance equals rate times time, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=rt ALIGN=MIDDLE  ALT=\"d=rt\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=d%2Fr ALIGN=MIDDLE  ALT=\"t=d%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "rate of the car: r  (I chose the car's rate to be r rather than the pickup's rate because the question asks for the car's rate)<BR>\n" );
document.write( "distance for the car: 350\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "rate of the pickup: r - 10 (the pickup is going 10 mph slower)<BR>\n" );
document.write( "distance for the pickup: 300\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "time for the pickup: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=300%2F%28r-10%29 ALIGN=MIDDLE  ALT=\"t=300%2F%28r-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "time for the car: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=350%2Fr ALIGN=MIDDLE  ALT=\"t=350%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But the time for the pickup and car are the same, so:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2Fr=300%2F%28r-10%29 ALIGN=MIDDLE  ALT=\"350%2Fr=300%2F%28r-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Cross multiply, collect like terms, and solve for r </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );