document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=821560>Question 821560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jogger leaves a point on a fitness trail running at a rate of 7 miles per hour. Ten minutes later, a second jogger leaves from the same location running at 8 miles per hour. a)How long will it take the second jogger to overtake the first? b)How far will each have run at that point? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494221 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=494221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A jogger leaves a point on a fitness trail running at a rate of 7 miles per hour. Ten minutes later, a second jogger leaves from the same location running at 8 miles per hour.<BR>\n" );
document.write( "a)How long will it take the second jogger to overtake the first?<BR>\n" );
document.write( "1st jogger DATA:<BR>\n" );
document.write( "rate = 7 mph ; time = x minutes ; distance = r*t = (7/60)x miles<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "2nd jogger DATA:<BR>\n" );
document.write( "rate = 8 mph ; time = x-10 min ; distance = r*t = (8/60(x-10)miles<BR>\n" );
document.write( "-------------------------------------------------- <BR>\n" );
document.write( "b)How far will each have run at that point?<BR>\n" );
document.write( "Solve for \"x\"::<BR>\n" );
document.write( "distance = distance<BR>\n" );
document.write( "(7/60)x=(8/60)(x-10)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "7x = 8(x-10)<BR>\n" );
document.write( "7x = 8x - 80<BR>\n" );
document.write( "x = 80 minutes<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Distance = (7/60)80 = (4/3)7 = 28/3 = 9 1/3 miles<BR>\n" );
document.write( "----------------------------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );