document.write( "Question 1110851: Problem Page A jet travels 6096 mi against a jetstream in 8 hours and 7056 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? \n" ); document.write( "

Algebra.Com's Answer #725840 by ikleyn(52925) $\"\"$ $\"About$

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document.write( "Let x = the jet rate at no wind (in mph), and\r\n" );
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document.write( "    y = the rate of the wind.\r\n" );
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document.write( "Then the effective rate of the jet with the wind is x + y mph,\r\n" );
document.write( "while the effective rate of the jet with the wind is x - y mph.\r\n" );
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document.write( "The condition says\r\n" );
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document.write( " = x - y     (the effective speed against the wind)\r\n" );
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document.write( " = x + y     (the effective speed with the wind)\r\n" );
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document.write( "After calculations, it takes the form\r\n" );
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document.write( "x - y = 762     (1)\r\n" );
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document.write( "x + y = 882     (2)\r\n" );
document.write( "---------------------- Add the equations\r\n" );
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document.write( "2x = 762 + 882 = 1644    ====>  x =  = 822 mph.   It is the rate of the jet at no wind.\r\n" );
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document.write( "Then from eq(2),  y = 882 - 822 = 60 mph  is the rate of the wind.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "-------------
\n" ); document.write( "It is a typical \"tailwind and headwind\" word problem.\r
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\n" ); document.write( "\n" ); document.write( "See the lessons \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems solvable by quadratic equations \r
\n" ); document.write( "\n" ); document.write( "    - Selected problems from the archive on a plane flying with and against the wind \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "In these lessons you will find the detailed solutions of many similar problems. \r
\n" ); document.write( "\n" ); document.write( "Consider them as samples. Read them attentively.\r
\n" ); document.write( "\n" ); document.write( "Then solve your problem by substituting your data.\r
\n" ); document.write( "\n" ); document.write( "In this way you will learn how to solve similar problems once and for all.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the section \"Word problems\", the topic \"Travel and Distance problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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