document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=559581>Question 559581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At 1:00 p.m. a car leaves St. Louis for Chicago, traveling at a constant speed of 65 miles per hour. At 2:00 p.m. a truck leaves Chicago for St. Louis, traveling at a constant speed of 55 miles per hour. If it is a 305-mile drive between St. Louis and Chicago, at what time will the car and truck pass each other? \r<BR>\n" );
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document.write( "I'm having trouble with this because of the different times that the vehicles left. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363533 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=363533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At 1:00 p.m. a car leaves St. Louis for Chicago, traveling at a constant speed of 65 miles per hour.<BR>\n" );
document.write( "At 2:00 p.m. a truck leaves Chicago for St. Louis, traveling at a constant speed of 55 miles per hour.<BR>\n" );
document.write( " If it is a 305-mile drive between St. Louis and Chicago, at what time will the car and truck pass each other?<BR>\n" );
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document.write( "Let t = travel time of the truck that leaves at 2 PM<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+1) = travel time of the car which left at 1 PM<BR>\n" );
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document.write( "When the two meet, the distance each traveled will add up to 305 mi<BR>\n" );
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document.write( "Write a distance equation, dist = speed * time<BR>\n" );
document.write( "car dist + truck dist = 305 mile<BR>\n" );
document.write( "65(t+1) + 55t = 305<BR>\n" );
document.write( "65t + 65 + 55t = 305<BR>\n" );
document.write( "65t + 55t = 305 - 65<BR>\n" );
document.write( "120t = 240<BR>\n" );
document.write( "t = 240/120<BR>\n" );
document.write( "t = 2 hrs, is the travel time of the truck which left at 2 PM<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( " 2 PM + 2 hrs = 4 PM they will meet<BR>\n" );
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document.write( "We can prove this<BR>\n" );
document.write( "Car travel time = 3 hrs<BR>\n" );
document.write( "3*65 = 195<BR>\n" );
document.write( "2*55 = 110<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "total: 305 </SPAN>\n" );
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