document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154027>Question 154027</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry Structure and Method book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been working on this problem for awhile now and I just can't figure it out. I was wondering if someone could help me? I would deeply appreciate it. Please and Thank you!!!\r<BR>\n" );
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document.write( "In a bicycle race, Lionel gives Robert a 500m advantage. Also, Lionel agrees to start 15 min after Robert. If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take Lionel after he starts biking to overtake Robert? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113372 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=113372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem is applying the \"distance formula\":<BR>\n" );
document.write( "d = rt<BR>\n" );
document.write( "where<BR>\n" );
document.write( "d is distance<BR>\n" );
document.write( "r is rate or speed<BR>\n" );
document.write( "t is time<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = time Lionel is traveling<BR>\n" );
document.write( "x + .25 = time Robert was traveling<BR>\n" );
document.write( "Note: 15 minutes is the same as .25 hour<BR>\n" );
document.write( ".<BR>\n" );
document.write( "\"distance Lionel traveled\" = \"distance Robert traveled\" + .5<BR>\n" );
document.write( "Note: 500m is the same as .5 km<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Our equation then is:<BR>\n" );
document.write( "17x = 14(x + .25) + .5<BR>\n" );
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document.write( "Now, we solve for x:<BR>\n" );
document.write( "17x = 14x + 3.5 + .5<BR>\n" );
document.write( "17x = 14x + 4<BR>\n" );
document.write( "3x = 4<BR>\n" );
document.write( "x = 4/3<BR>\n" );
document.write( "x = 1.333 hours<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );