document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146049>Question 1146049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom leaves Los Angeles at 2:00 P.M. and drives to San Francisco, a distance of 268 miles, traveling east on highway 15 at 55 mph. At 2:15 P.M. Rob leaves San Francisco and drives to Los Angeles at 60 mph, traveling west on highway 15. At what time do they pass each other on the highway? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767335 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rt=d<BR>\n" );
document.write( "r = rate<BR>\n" );
document.write( "t = time<BR>\n" );
document.write( "d = distance\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when they meet, tom will have been traveling for t hours and rob will have been traveling for t-.25 hours (15 minutes / 60 = 1/4 hours = .25 hours).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when they meet, the sum of the miles driven by tom and rob will be 268 miles.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the formula for tom is 55 * t = d1<BR>\n" );
document.write( "the formula for rob is 60r * (t - .25) = d2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you have d1 + d2 = 268, so the formula becomes:<BR>\n" );
document.write( "55 * t + 60 * (t-.25) = 268<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "55 * t + 60 * t - 15 = 268<BR>\n" );
document.write( "add 15 to both sides and combine like terms to get:<BR>\n" );
document.write( "115 * t = 283<BR>\n" );
document.write( "solve for t to get:<BR>\n" );
document.write( "t = 283 /115 = 2.460869565\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in t hours, tom has driven 55 * 2.460869565 = 135.3478261 miles<BR>\n" );
document.write( "in t - .25 hours, rob has driven 60 * 2.210869565 = 132.6521739 miles.<BR>\n" );
document.write( "the total miles driven is equal to 268 miles.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "tom started at 2:00 pm.<BR>\n" );
document.write( "in t hours, tom has driven 2 hours and 27.65217391 minutes.<BR>\n" );
document.write( "that makes the time equal to 2.00 + 2:27.652173914 = 4:27.65217391 pm.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "rob stated at 2:15 pm.<BR>\n" );
document.write( "in t - .25 hours, tom has driven 2 hours and 12.65217391 minutes.<BR>\n" );
document.write( "that makes the time equal to 2:15 + 2:12.65217391 = 4:27.65217391 pm\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the time that they pass each other is at 4:27.65217391 pm.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "round to the nearest minute and the time becomes 4:28 pm.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the conversion from hours to hours and minutes was done as follows:<BR>\n" );
document.write( "2.460869565 hours * 60 = 147.6521739 minutes.<BR>\n" );
document.write( "subtract 120 minutes and add 2 hours to get 2 hours 27.65217391 minutes.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's the hours and minutes for tom.<BR>\n" );
document.write( "rob traveled 15 minutes less, so rob traveled for 2 hours 12.65217391 minutes.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "rob traveled 15 minutes less than tom.<BR>\n" );
document.write( "the time they met was the same, as it should be.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );