document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132953>Question 132953</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618073639/algebrahomeworkh>Applied College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A plane leaves an airport traveling at an average speed of 240 kilometers per hour. How long will it take a second plane traveling the same route at an average speed of 600 kilomenters per hour to catch up with the first plane if it leaves 3 hours later? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97143 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=97143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r\r<BR>\n" );
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document.write( "Let t=amount of time it takes the second plane to catch the first plane  AFTER the second plane leaves.\r<BR>\n" );
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document.write( "Now we know that when the second plane leaves, the first plane will have already travelled 240*3 or 720 km.\r<BR>\n" );
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document.write( "We also know that when the two planes have travelled the same distance, the second plane will have caught up with the first plane.\r<BR>\n" );
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document.write( "Total distance first plane travels=720+240t<BR>\n" );
document.write( "Total distance second plane travels=600t\r<BR>\n" );
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document.write( "And the above two distances need to be equal, so:\r<BR>\n" );
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document.write( "720+240t=600t  subtract 240t from each side<BR>\n" );
document.write( "720+240t-240t=600t-240t collect like terms\r<BR>\n" );
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document.write( "720=360t  divide both sides by 360<BR>\n" );
document.write( "t=2 hrs-------so 2 hrs after the second plane leaves it will catch the first plane\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "720+240*2=600*2<BR>\n" );
document.write( "720+480=1200<BR>\n" );
document.write( "1200=1200\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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