document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=579215>Question 579215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A refrigerated truck leaves a rest stop traveling at a steady rate of 56 mi/h. A car leaves the same rest stop 1/4 h later following the truck at a steady pace of 64mi/h. How long after the truck leaves the rest stop will the car overtake the truck?\r<BR>\n" );
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document.write( "I am wondering how you make an equation for a problem like that and then how you would solve it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371047 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=371047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A refrigerated truck leaves a rest stop traveling at a steady rate of 56 mi/h.<BR>\n" );
document.write( " A car leaves the same rest stop 1/4 h later following the truck at a steady pace of 64mi/hr<BR>\n" );
document.write( " How long after the truck leaves the rest stop will the car overtake the truck?<BR>\n" );
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document.write( "Let t = travel time of the truck<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t-.25) = travel time of the car<BR>\n" );
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document.write( "When the car overtakes the truck they will have traveled the same distance<BR>\n" );
document.write( "Write a distance equation: Dist = speed * time<BR>\n" );
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document.write( "car dist = truck dist<BR>\n" );
document.write( "64(t-.25) = 56t <BR>\n" );
document.write( "64t - 16 = 56t<BR>\n" );
document.write( "64t - 56t = 16<BR>\n" );
document.write( "8t = 16<BR>\n" );
document.write( "t = 16/8<BR>\n" );
document.write( "t = 2 hrs after the truck leaves, the car overtakes him<BR>\n" );
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document.write( "Check this by finding the actual distance each traveled; they should be the same.<BR>\n" );
document.write( "Car: 64(1.75) = 112 mi<BR>\n" );
document.write( "Truck: 56(2) = 112 mi </SPAN>\n" );
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