document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930541>Question 930541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a jet plane travelling at 500 mph over takes a propeller plane travelling at 200 mph that had a 2-hour head start.how far the starting point are the planes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565074 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=565074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A jet plane travelling at J mph over takes a propeller plane travelling at P mph that had a k hour head start.how far the starting point are the planes?\r<BR>\n" );
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document.write( "J=500, P=200, k=2.<BR>\n" );
document.write( "Let d be the distance each travels by the time both went the same distance (and meet);<BR>\n" );
document.write( "Let t be the time that the faster plane (jet) traveled until caught up to the slower plane.\r<BR>\n" );
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document.write( "__________________rate________time_________distance<BR>\n" );
document.write( "JET_______________J____________t____________d<BR>\n" );
document.write( "PROP______________P___________t+k___________d\r<BR>\n" );
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document.write( "Two variables, but the variable to solve for is d.  First you can solve for t if you want.  Maybe not the only way.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28Jt=d%2CP%28t%2Bk%29=d%29 ALIGN=MIDDLE  ALT=\"system%28Jt=d%2CP%28t%2Bk%29=d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve for t in terms of d, no matter which equation you start with.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=d%2FJ ALIGN=MIDDLE  ALT=\"t=d%2FJ\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( ";<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28t%2Bk%29=d ALIGN=MIDDLE  ALT=\"P%28t%2Bk%29=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28d%2FJ%2Bk%29=d ALIGN=MIDDLE  ALT=\"P%28d%2FJ%2Bk%29=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Pd%2FJ%2BPk=d ALIGN=MIDDLE  ALT=\"Pd%2FJ%2BPk=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Pd%2FJ-d=-Pk ALIGN=MIDDLE  ALT=\"Pd%2FJ-d=-Pk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28P%2FJ-1%29=-Pk ALIGN=MIDDLE  ALT=\"d%28P%2FJ-1%29=-Pk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=%28-Pk%29%2F%28P%2FJ-1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28d=%28-Pk%29%2F%28P%2FJ-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which you could simplify further...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%28-PkJ%29%2F%28P-J%29 ALIGN=MIDDLE  ALT=\"d=%28-PkJ%29%2F%28P-J%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "in which you may check that P-J is a negative value...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%28%28-PJk%29%2F%28P-J%29%29%28%28-1%29%2F%28-1%29%29 ALIGN=MIDDLE  ALT=\"d=%28%28-PJk%29%2F%28P-J%29%29%28%28-1%29%2F%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=%28PJk%29%2F%28J-P%29%29 ALIGN=MIDDLE  ALT=\"highlight%28d=%28PJk%29%2F%28J-P%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Evaluate d for the specific exercise using the given values.    </SPAN>\n" );
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