document.write( "Question 1086393: a jet aircraft traveled 1416 miles from the Atlanta to El Paso. traveling Against the Wind to trip take 3.2 hours. the return trip with the wind takes 2.4 hours. find the speed of the aircraft in the still air and the speed of the wind. \n" ); document.write( "

Algebra.Com's Answer #700591 by ikleyn(52914) $\"\"$ $\"About$

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document.write( "The equations are\r\n" );
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document.write( "u - v =      (1)   (effective speed flying against the wind)\r\n" );
document.write( "u + v =      (2)   (effective speed flying with the wind)\r\n" );
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document.write( "where \"u\" is the aircraft speed at no wind and \"v\" is the speed of wind.\r\n" );
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document.write( "Simplify (1) and (2):\r\n" );
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document.write( "u - v = 442.5    (3)\r\n" );
document.write( "u + v = 590.     (4)\r\n" );
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document.write( "Add equations (3) and (4). You will get\r\n" );
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document.write( "2u = 1032.5  ---->  u =  = 516.25.\r\n" );
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document.write( "Thus we found the speed of the aircraft at no wind. It is 516.25 mph.\r\n" );
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document.write( "Now from equation (4)  v = 590 - 516.25 = 73.75 mph.\r\n" );
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document.write( "Answer.  the speed of the aircraft at no wind is 516.25 mph.  The speed of wind is 73.75 mph.\r\n" );
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\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
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\n" ); document.write( "\n" ); document.write( "In these lessons you will find the detailed solutions of many similar problems. \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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