document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390724>Question 390724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the following word problem:\r<BR>\n" );
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document.write( "At 7:00 a.m. a plane left Houston for Detroit, 1750 miles away, flying at 400 mph.  At 8:30 a.m. a plane left Detroit for Houston at 500 mph.  At what time did they pass each other?\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "Alison </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #277097 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=277097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At 7:00 a.m. a plane left Houston for Detroit, 1750 miles away, flying at 400 mph. <BR>\n" );
document.write( "At 8:30 a.m. a plane left Detroit for Houston at 500 mph.<BR>\n" );
document.write( " At what time did they pass each other?<BR>\n" );
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document.write( "Let t = travel time of the Detroit plane<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+1.5) = travel time of the Houston plane<BR>\n" );
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document.write( "When they meet, their travel distances will total 1750 mi<BR>\n" );
document.write( "Write a distance equation; dist = speed/time<BR>\n" );
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document.write( "400(t+1.5) + 500t = 1750<BR>\n" );
document.write( "400t + 600 + 500t = 1750<BR>\n" );
document.write( "400t + 500t = 1750 - 600<BR>\n" );
document.write( "900t = 1150<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1150%2F900 ALIGN=MIDDLE  ALT=\"1150%2F900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 1.278 hrs which is: 1 + .278(60) ~ 1:17 (1 hr 17 min)<BR>\n" );
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document.write( "8:30 + 1:17 = 9:47 am; the time they meet<BR>\n" );
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document.write( "Check solution, find the distance of each<BR>\n" );
document.write( "400 * (1.278 + 1.5) = 1111.2 mi<BR>\n" );
document.write( "500 * 1.278 = 639 mi<BR>\n" );
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document.write( "total miles: 1750.2 mi close enough </SPAN>\n" );
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