document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99122>Question 99122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with this problem  Please Help: <BR>\n" );
document.write( "Two planes leave Philadelphia at the same time.  One heads due south toward Atlanta;  the other heads due north toward Boston.  The Atlant bound plane flies 50 mph faster than the other. In 1/2 hour the pplanes are 275 miles apart.  What are their speeds? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72132 by </B><A HREF=/tutors/aboutme.mpl?userid=rcmcc><B>rcmcc(152)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rcmcc><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=rcmcc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=72132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Because you are looking for the speed of the plane in mph. you should convert the data into full hours. assuming the planes stay at a constant speed. 2x the time should equal 2x the distance\r<BR>\n" );
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document.write( "So if in 1/2 an hour the planes are 275 miles appart in one hour they will be 550 miles appart.\r<BR>\n" );
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document.write( "because one plane travels 50 mph faster than the other, 550 is the same as x+(x+50) where x represents the speed of the slower plane.\r<BR>\n" );
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document.write( "because this is a simple linear equation you can combine the terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%28x%2B50%29=550 ALIGN=MIDDLE  ALT=\"x%2B%28x%2B50%29=550\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B50=550 ALIGN=MIDDLE  ALT=\"2x%2B50=550\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "take the 50 to the other side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=500 ALIGN=MIDDLE  ALT=\"2x=500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=250 ALIGN=MIDDLE  ALT=\"x=250\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so the slower plane is traveling at 250mph, and the faster plane is traveling 50mph faster so the second plane is traveling at 300mph\r<BR>\n" );
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document.write( "you can check this answer in the question\r<BR>\n" );
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document.write( "at 1/2 (250mph) plane 1 is 125miles from the origin <BR>\n" );
document.write( "at 1/2 (300mph) plane 2 is 150miles from the origin<BR>\n" );
document.write( "because they are in opposite directions they are 275 miles appart. </SPAN>\n" );
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