document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184570>Question 1184570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jet travels 2064 miles against a jetstream in 3 hours and 2514 miles with the jetstream in the same amount of time. What is the rate of the jet in still air and what is the rate of the jetstream?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815197 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52931)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A jet travels 2064 miles against a jetstream in 3 hours and 2514 miles with the jetstream <BR>\n" );
document.write( "in the same amount of time. What is the rate of thae jet in still air and what is the rate of the jetstream?<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Let u be the jet rate in still air (in miles per hour), and\r\n" );
document.write( "let u be the jetstream rate.\r\n" );
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document.write( "Then the jet's effective speed flying with the jetstream is u+v miles per hour,\r\n" );
document.write( "while its effective speed flying against the jetstream is u-v miles per hour.\r\n" );
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document.write( "From the condition, we have this system of equstions\r\n" );
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document.write( "    u + v = 2514/3 = 838  mph    (1)\r\n" );
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document.write( "    u - v = 2064/3 = 688  mph    (2)\r\n" );
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document.write( "To solve equations, add them. You will get\r\n" );
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document.write( "    2u = 838 + 688 = 1526;  hence  u = 1526/2 = 763  mph.\r\n" );
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document.write( "Then from equation (1),\r\n" );
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document.write( "    v = 838 - u = 838 - 763 = 75 mph.\r\n" );
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document.write( "<U>ANSWER</U>.  The jet rate in still air is 763 miles per hour;  the jeststream rate is 75 miles per hour.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "It is a typical \"tailwind and headwind\" word problem.\r<BR>\n" );
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document.write( "See the lessons \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/travel/Wind-and-Current-problems.lesson>Wind and Current problems</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/travel/Wind-and-Current-problems-solvable-by-quadratic-equations.lesson>Wind and Current problems solvable by quadratic equations</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/travel/Selected-problems-from-the-archive-on-a-plane-flying-with-and-against-the-wind.lesson>Selected problems from the archive on a plane flying with and against the wind</A> \r<BR>\n" );
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document.write( "in this site, where you will find other similar solved problems with detailed explanations.\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this textbook under the section \"<U>Word problems</U>\", &nbsp;the topic \"<U>Travel and Distance problems</U>\".\r<BR>\n" );
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document.write( "Save the link to this online textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in ALGEBRA-I<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r<BR>\n" );
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document.write( "to your archive and use it when it is needed.\r<BR>\n" );
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