document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62935>Question 62935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cameron had driven his car 20 kilometers before Ruth began driving her car to catch up. How long will it take Ruth to catch Cameron if Cameron travels at 55 kilometers per hour and Ruth  travels at 135 kilometers per hour? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43757 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=43757\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b>Cameron had driven his car 20 kilometers before Ruth began driving her car to catch up. How long will it take Ruth to catch Cameron if Cameron travels at 55 kilometers per hour and Ruth  travels at 135 kilometers per hour?</b>\r<BR>\n" );
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document.write( "At time t, in hours, Cameron's distance traveled = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B55t ALIGN=MIDDLE  ALT=\"20%2B55t\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "At time t, in hourse, Ruth's distance traveled = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=135t ALIGN=MIDDLE  ALT=\"135t\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "When Ruth catches up the distance traveled by the two of them is the same.<BR>\n" );
document.write( "So, we solve for the two equations being equal: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B55t=135t ALIGN=MIDDLE  ALT=\"20%2B55t=135t\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Subtrace 55t from both sides: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20=80t ALIGN=MIDDLE  ALT=\"20=80t\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=1%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28t=1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, Ruth catches up in 1/4 hour or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2815+minutes%29 ALIGN=MIDDLE  ALT=\"highlight%2815+minutes%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Let's verify the answer.\r<BR>\n" );
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document.write( "In 15 minutes (1/4 hour) Cameron has traveled <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%2955 ALIGN=MIDDLE  ALT=\"%281%2F4%2955\"   DISABLED_style= \"max-width:90%; height:auto;\" > plus the 20 miles he has as a head start. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%2955%2B20+=+13.75%2B20+=+33.75 ALIGN=MIDDLE  ALT=\"%281%2F4%2955%2B20+=+13.75%2B20+=+33.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In 15 minutes Ruth has traveled <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29135+=+33.75 ALIGN=MIDDLE  ALT=\"%281%2F4%29135+=+33.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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