document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213169>Question 213169</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131313991/algebrahomeworkh>Prentice Hall Algebra I Louisiana</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A moving van leaves a house traveling at an average rate of 35mph.  The family leaves the house in a car 3/4 hour later traveling the same route at an average rate of 50mph.  How long will it take the family to 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 #161056 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=161056\">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 35mph.<BR>\n" );
document.write( " The family leaves the house in a car 3/4 hour later traveling the same route at an average rate of 50mph. <BR>\n" );
document.write( "How long will it take the family to catch up with the van?<BR>\n" );
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document.write( "Change 3/4 hr to .75 hr<BR>\n" );
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document.write( "Let t = time required by the family to catch up<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+.75) = Van travel time when it is caught<BR>\n" );
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document.write( "When this happens, they will have traveled the same distance<BR>\n" );
document.write( "Write a distance equation: dis = speed * time<BR>\n" );
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document.write( "Car dist = Van dist<BR>\n" );
document.write( "50t = 35(t+.75)<BR>\n" );
document.write( "50t = 35t + 26.25<BR>\n" );
document.write( "50t - 35t = 26.25<BR>\n" );
document.write( "15t = 26.25<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26.25%2F15 ALIGN=MIDDLE  ALT=\"26.25%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 1.75 hrs for the family to catch the van<BR>\n" );
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document.write( "Check solution by ensuring that they traveled the same dist:<BR>\n" );
document.write( "50 * 1.75 = 87.5 mi<BR>\n" );
document.write( "35 * (1.75+.75) = 87.5 </SPAN>\n" );
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