document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601550>Question 601550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two planes leave Pittsburgh and Philadelphia at the same time, each going to the other city. One plane flies 125 miles per hour faster than the other.<BR>\n" );
document.write( "Find the ground speed of the faster plane if the cities are 375 miles apart and the planes pass one another after 50 minutes of flying time.<BR>\n" );
document.write( "Answer in units of mi/h </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379913 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=379913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two planes leave Pittsburgh and Philadelphia at the same time, each going to the other city. <BR>\n" );
document.write( "One plane flies 125 miles per hour faster than the other.<BR>\n" );
document.write( "Find the ground speed of the faster plane if the cities are 375 miles apart and the planes pass one another after 50 minutes of flying time.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = speed of the slower plane<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+125) = speed of the faster plane<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a distance equation: dist = time * speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Convert 50 min to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "slow plane dist + fast plane dist = 375 mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >s + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >(s+125) = 375<BR>\n" );
document.write( "mult by 6 to get rid of the denominators, results<BR>\n" );
document.write( "5s + 5(s+125) = 6(375)<BR>\n" );
document.write( "5s + 5s + 625 = 2250<BR>\n" );
document.write( "10s = 2250 - 625<BR>\n" );
document.write( "10s = 1625<BR>\n" );
document.write( "s = 1625/10<BR>\n" );
document.write( "s = 162.5 mph speed of slow plane<BR>\n" );
document.write( "then<BR>\n" );
document.write( "162.5 + 125 = 287.5 mph speed of the faster plane<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this by finding distance each plane travels<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >*(162.5) = 135.4 mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >*(287.5) = 239.6 mi<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "total distance =  375 mi\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );