document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168610>Question 168610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 planes travel toward eachother from cities that are 1615km apart. the 2 planes pass eachother in the air after 3hrs and 48min, the slower plane was traveling at a rate of speed that was 80kh more than 1/2 the rate of speed of the faster plane assuming they left at the same time at what rate of speed was each plane traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124263 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=124263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 planes travel toward each other from cities that are 1615km apart. the 2<BR>\n" );
document.write( " planes pass each other in the air after 3hrs and 48min, the slower plane was<BR>\n" );
document.write( " traveling  at a rate of speed that was 80kh more than 1/2 the rate of speed<BR>\n" );
document.write( " of the faster  plane assuming they left at the same time, at what rate of<BR>\n" );
document.write( " speed was each plane traveling?<BR>\n" );
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document.write( "Let s = rate of the faster plane<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(.5s+80) = rate of the slower plane<BR>\n" );
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document.write( "Change 3 hr 48 min to hrs;   3 + 48/60 = 3.8 hrs<BR>\n" );
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document.write( "When they meet. they will have traveled a total of 1615 km<BR>\n" );
document.write( "They both have a travel time of 3.8 hr<BR>\n" );
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document.write( "Write a distance equation: dist = time * speed<BR>\n" );
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document.write( "Fast speed dist + slow speed dist = 1615 km<BR>\n" );
document.write( "3.8s + 3.8(.5s+80) = 1615<BR>\n" );
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document.write( "3.8s + 1.9s + 304 = 1615<BR>\n" );
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document.write( "5.7s = 1615 - 304<BR>\n" );
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document.write( "5.7s = 1311<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1311%2F5.7 ALIGN=MIDDLE  ALT=\"1311%2F5.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 230 km/hr is the fast plane<BR>\n" );
document.write( "then<BR>\n" );
document.write( ".5(230) + 80 = 195 km/hr is the slow one<BR>\n" );
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document.write( "Check solution by finding the total distance<BR>\n" );
document.write( "3.8*230 = 874<BR>\n" );
document.write( "3.8*195 = 741<BR>\n" );
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document.write( "total d = 1615<BR>\n" );
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