document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102349>Question 102349</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131314335/algebrahomeworkh>Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A moving van leaves a house traveling at an average rate of 35 mi/h.The family<BR>\n" );
document.write( "leaves the house hour later following the same route in a car.They travel at<BR>\n" );
document.write( "an average rate of 50 mi/h. How long after the moving van leaves the house will<BR>\n" );
document.write( "the car catch up with the van? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74540 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A moving van leaves a house traveling at an average rate of 35 mi/h.The family<BR>\n" );
document.write( "leaves the house hour later following the same route in a car.They travel at<BR>\n" );
document.write( "an average rate of 50 mi/h. How long after the moving van leaves the house will<BR>\n" );
document.write( "the car catch up with the van?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = travel time of the van when the car overtakes it<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t-1) = travel time of the car when this happens<BR>\n" );
document.write( ":<BR>\n" );
document.write( "They will have traveled the same distance when the car overtakes the van<BR>\n" );
document.write( "Write a distance equation from the fact. Distance = speed * time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Car dist  =  van dist<BR>\n" );
document.write( "50(t-1) = 35t<BR>\n" );
document.write( "50t - 50 = 35t<BR>\n" );
document.write( "50t - 35t = +50<BR>\n" );
document.write( "15t = 50<BR>\n" );
document.write( "t = 50/15<BR>\n" );
document.write( "t = 3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs or 3 hrs, 20 min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the distance of both, should be equal<BR>\n" );
document.write( "Van: 3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 35 = 166<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles<BR>\n" );
document.write( "Car: 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 50 = 166<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );