document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66475>Question 66475</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A private airplane leaves an airport and flies due south at 192 km/h.  Two hours later a jet leaves the same airport and flies due south at 960 km/h.  When will the jet overtake the plane?<BR>\n" );
document.write( "THANK YOU! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47132 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A private airplane leaves an airport and flies due south at 192 km/h.  Two hours later a jet leaves the same airport and flies due south at 960 km/h.  When will the jet overtake the plane?<BR>\n" );
document.write( "THANK YOU!\r<BR>\n" );
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document.write( "distance (d)=rate (r)  times   Time (t)<BR>\n" );
document.write( "d=rt\r<BR>\n" );
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document.write( "Let t=time it takes for the jet to catch the private plane\r<BR>\n" );
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document.write( "Now we are told that when the jet leaves, the private plane has already been flying for two hours. Therefore, the private plane has already traveled a distance of  (192km/h)(2h)=384 km\r<BR>\n" );
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document.write( "(960)(t)= distance travelled by the jet when the private plane is overtaken\r<BR>\n" );
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document.write( "384+(192)(t)=distance travelled by the private plane with it is overtaken\r<BR>\n" );
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document.write( "When these two distances are equal, the private plane will be overtaken.  So our equation to solve is:\r<BR>\n" );
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document.write( "960t=384+192t  subtract 192t from both sides: <BR>\n" );
document.write( "960t-192t=384<BR>\n" );
document.write( "768t=384<BR>\n" );
document.write( "t=.5h=.5(60)m\r<BR>\n" );
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document.write( "t=30 minutes after the jet takes off, it will overtake the private plane\r<BR>\n" );
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document.write( "ck\r<BR>\n" );
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document.write( "(960)(.5)=384+192(.5)\r<BR>\n" );
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document.write( "480=384+96<BR>\n" );
document.write( "480=480\r<BR>\n" );
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document.write( "Hope this helps----ptaylor<BR>\n" );
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