document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=803349>Question 803349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A truck and a car driving uniformly from city A to city B. The truck leaves at 9:15A.M and arrives at 1:15P.M. The car leaves at 10:00A.M and arrives at 12:45P.M. At what time does the car overtake the truck? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #484422 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=484422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A truck and a car driving uniformly from city A to city B.<BR>\n" );
document.write( " The truck leaves at 9:15A.M and arrives at 1:15P.M.<BR>\n" );
document.write( " The car leaves at 10:00A.M and arrives at 12:45P.M.<BR>\n" );
document.write( " At what time does the car overtake the truck?<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Truck took 4 hrs to make the trip, Car took 2.75 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = dist from A to B<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the speed of the two vehicles (speed = dist/time)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4 ALIGN=MIDDLE  ALT=\"d%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of truck<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F2.75 ALIGN=MIDDLE  ALT=\"d%2F2.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of the car<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let t = time for the car to overtake the truck<BR>\n" );
document.write( "The truck leaves 45 min before the car, therefore<BR>\n" );
document.write( "(t+.75) = travel time of the truck<BR>\n" );
document.write( ":<BR>\n" );
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" );
document.write( "Car dist = truck dist<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F2.75 ALIGN=MIDDLE  ALT=\"d%2F2.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4 ALIGN=MIDDLE  ALT=\"d%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >(t+.75)<BR>\n" );
document.write( "CRoss multiply<BR>\n" );
document.write( "4dt = 2.75d(t+.75)<BR>\n" );
document.write( "4dt = 2.75dt + 2.0625d<BR>\n" );
document.write( "get rid of d, divide eq by d<BR>\n" );
document.write( "4t = 2.75t + 2.0625<BR>\n" );
document.write( "4t - 2.75t = 2.0625<BR>\n" );
document.write( "1.25t = 2.0625<BR>\n" );
document.write( "t = 2.0625/1.25<BR>\n" );
document.write( "t = 1.65 hrs for the car to overtake the truck<BR>\n" );
document.write( "Which is 1 + .65(60) = 1 hr 39 min<BR>\n" );
document.write( "The car overtakes the truck at: 10:00 + 1:39 = 11:39 AM<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if they travel the same distance in that time<BR>\n" );
document.write( "Assume the A-B distance is 200 mi<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F4 ALIGN=MIDDLE  ALT=\"200%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 50 mph is the truck speed<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F2.75 ALIGN=MIDDLE  ALT=\"200%2F2.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 72.7 mph is the car speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the distances <BR>\n" );
document.write( "Truck 50(1.65+.75) = 120 mi<BR>\n" );
document.write( "Car: 72.7(1.65) ~ 120 mi; confirms our solution\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );