document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181929>Question 181929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two Air Force planes, one a jet and the other propeller-driven plane, left an air base at the same time and flew to another base 600 miles away. The jet's average speed was 300 miles per hour greater than that of the propeller-driven plane and its flying time was 2 and 2/3 hours less. Find the average speed of each plane. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136582 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=136582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two Air Force planes, one a jet and the other propeller-driven plane, left an<BR>\n" );
document.write( " air base at the same time and flew to another base 600 miles away.<BR>\n" );
document.write( " The jet's average speed was 300 miles per hour greater than that of the<BR>\n" );
document.write( " propeller-driven plane and its flying time was 2 and 2/3 hours less.<BR>\n" );
document.write( " Find the average speed of each plane.<BR>\n" );
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document.write( "Let s = speed of the prop plane<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+300) = speed of the jet plane<BR>\n" );
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document.write( "Write a time equation; time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Prop time - jet time = 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2Fs ALIGN=MIDDLE  ALT=\"600%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F%28%28s%2B300%29%29 ALIGN=MIDDLE  ALT=\"600%2F%28%28s%2B300%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3 ALIGN=MIDDLE  ALT=\"8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply equation by 3s(s+300) to get rid of those annoying denominators<BR>\n" );
document.write( "600*3(s+300) - 600*3s = 8s(s+300)<BR>\n" );
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document.write( "1800s + 540000 - 1800s = 8s^2 + 2400s<BR>\n" );
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document.write( "do the math and arrange as a quadratic equation<BR>\n" );
document.write( "8s^2 + 2400s - 540000 = 0<BR>\n" );
document.write( ";<BR>\n" );
document.write( "simplify, divide by 8<BR>\n" );
document.write( "s^2 + 300s - 67500 = 0<BR>\n" );
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document.write( "With a little sweat we can get this to factor<BR>\n" );
document.write( "(s + 450) (s - 150) = 0<BR>\n" );
document.write( "the positive solution:<BR>\n" );
document.write( "s = +150 mph is the prop plane<BR>\n" );
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document.write( "I'll let you find the jet plane speed<BR>\n" );
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document.write( "Check solution in original equation </SPAN>\n" );
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