document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166131>Question 166131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two planes travel toward each other from cities that are 1615 kilometers apart. The two planes passed each other in the air after 3 hours and 48 minutes. The slower plane was traveling at a rate of speed that was 80 k/h more than half 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 #122462 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets call the distance traveled d(d1) and 1615-d(d2)<BR>\n" );
document.write( "fast plane rate of speed lets call f<BR>\n" );
document.write( "slow planes rate of speed will call s which equals 1/2f+80--->(2f+160)/2<BR>\n" );
document.write( "time = 3 4/5hours or 19/5 hours. Time for plane 1 and plane 2 are equal\r<BR>\n" );
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document.write( "so d1=(rate of speed)(time)---><BR>\n" );
document.write( "   d=(f+160/2)(19/5)=(19f+3040)/10\r<BR>\n" );
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document.write( "and d2=f(19/5)---->1615-d=19f/5\r<BR>\n" );
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document.write( "placing d's value into the d2 equation we have 1615-(19f+3040)/10=19f/5\r<BR>\n" );
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document.write( "multiply each term by 10  16150-19f-3040=38f--->57f=13110=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230 ALIGN=MIDDLE  ALT=\"230\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so the speed of the fast plane was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230mph ALIGN=MIDDLE  ALT=\"230mph\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "hence the speed of the slow plane was s=1/2(230)+80=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=195mph ALIGN=MIDDLE  ALT=\"195mph\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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