document.write( "Question 1103790: A plane travels at a speed of 205 MPH in still air. Flying with a tailwind, the plane is clocked over a distance of 950 miles. Flying against a headwind, it takes 2 hours longer to complete the return trip. what was the wind velocity? \n" ); document.write( "

Algebra.Com's Answer #718495 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "A plane travels at a speed of 205 MPH in still air. Flying with $\"highlight%28cross%28a_tailwind%29%29\"$ the wind, the plane is clocked over a distance of 950 miles.
\n" ); document.write( "Flying against $\"highlight%28cross%28a_headwind%29%29\"$ the wind, it takes 2 hours longer to complete the return trip. what was the $\"highlight%28cross%28wind+_velocity%29%29\"$ speed of the wind ?
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document.write( "Let v = the wind speed (in miles per hour), now unknown.\r\n" );
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document.write( "The  the tailwind speed = 205 + v miles per hour.\r\n" );
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document.write( "         Headwind speed = 205 - v miles per hour.\r\n" );
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document.write( "\"Time equation\"\r\n" );
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document.write( " -  = 2  hours.\r\n" );
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document.write( "950*(205+v) - 950*(205-v) = 2*(205^2-v^2)\r\n" );
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document.write( "2*950*v = 2*(205^2-v^2),\r\n" );
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document.write( "950v = 205^2 - v^2\r\n" );
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document.write( "v^2 + 950v - 205^2 = 0\r\n" );
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document.write( " =  = .\r\n" );
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document.write( "Only positive root makes sense:  v =   = 42.35 mph.\r\n" );
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document.write( "Answer.  The speed of the wind is 42.35 mph.\r\n" );
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\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( "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( "\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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