document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=584026>Question 584026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A family plans to drive 2000 miles in 33 hours. The father will drive half of the distance, and the mother and son will share equally the remaining distance.<BR>\n" );
document.write( "In general, the father drives the fastest, the mother drives 10 mile per hour slower than the father, and the son's rate is halfway between the mother's and father's rates.<BR>\n" );
document.write( "find the rates for each of the drivers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372658 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=372658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A family plans to drive 2000 miles in 33 hours. The father will drive half of the distance, and the mother and son will share equally the remaining distance.<BR>\n" );
document.write( "In general, the father drives the fastest, the mother drives 10 mile per hour slower than the father, and the son's rate is halfway between the mother's and father's rates.<BR>\n" );
document.write( "find the rates for each of the drivers.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Let Mother's rate be x mph<BR>\n" );
document.write( "Then Father's rate is 2x mph<BR>\n" );
document.write( "And son's rate = (3/2)x<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Father's time: 1000/2x = 500/x hrs<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Mother's time: 250/x hrs<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Son's time: 250/(3/2)x = (500/(3x)) hrs<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "(500/x) + (250/x) + 500/(3x) = 33<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply thru by 3x to get:<BR>\n" );
document.write( "1500 + 750 + 500 = 99x<BR>\n" );
document.write( "2750 = 99x<BR>\n" );
document.write( "x = 2750/99<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = 27.78 mph (Mother's rate)<BR>\n" );
document.write( "2x = 55.56 mph (Father's rate)<BR>\n" );
document.write( "(3/2)x = 41.67 mph (Son's rate)<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );