document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317026>Question 317026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At 5pm, Jill leaves New York City and travels toward Boston at an average rate of 56 miles per hour. At 6pm, Billy leaves Boston and travels toward New York, on the same road as Jill, at an average rate of 50 miles per hour. If they were initially 215 miles apart, at what time do Billy an Jill pass each other?\r<BR>\n" );
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document.write( "Remarks: I know we are trying to solve for 't' here, but I'm not sure how to setup the problem. Should Jill be setup as (t+1) or Billy should?? Thanks for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227017 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=227017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At 5pm, Jill leaves New York City and travels toward Boston at an average rate of 56 miles per hour. At 6pm, Billy leaves Boston and travels toward New York, on the same road as Jill, at an average rate of 50 miles per hour. If they were initially 215 miles apart, at what time do Billy an Jill pass each other?\r<BR>\n" );
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document.write( "Jill 5.00 pm new york 56 mph<BR>\n" );
document.write( "before Billy leaves Boston Jill has traveled 56 miles. He has reached point A<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Billy's speed = 50 mph.<BR>\n" );
document.write( "let them meet at a distance of x miles from Boston<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Billy will travel distance x <BR>\n" );
document.write( "speed = 50 mph<BR>\n" );
document.write( "time taken = x/50 hours.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "In the same time Jill has traveled 215-x-56<BR>\n" );
document.write( "Jill has traveled 159-x miles<BR>\n" );
document.write( "speed = 56 mph<BR>\n" );
document.write( "time = 159-x/56  hours.\r<BR>\n" );
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document.write( "x/50 = 159-x / 56<BR>\n" );
document.write( "56x=50(159-x)<BR>\n" );
document.write( "56x=7950-50x<BR>\n" );
document.write( "106x=7950<BR>\n" );
document.write( "x=75 distance traveled by Billy <BR>\n" );
document.write( "His speed was 56 mph<BR>\n" );
document.write( "he took 75/56 hours<BR>\n" );
document.write( "= 1.34 hours\r<BR>\n" );
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document.write( "at 7.20 pm </SPAN>\n" );
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