document.write( "Question 1120576: You travel from San Francisco to New York City (NYC) by air, a distance of about 4,950 kilometers. On your way to NYC it took 5.5 hours because of the headwind and on your way back to San Francisco it took 5 hours because of the tailwind. What is the speed of the plane and what is the speed of the wind?
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Algebra.Com's Answer #736243 by ikleyn(52788) $\"\"$ $\"About$

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document.write( " = 990 = x + y    (1)   is the effective speed with  the wind.\r\n" );
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document.write( " = 900 = x - y    (2)   is the effective speed against the wind.\r\n" );
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document.write( "Add the equations (1) and (2) to get\r\n" );
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document.write( "2x = 990 + 900 = 1890  ====>   x = 1890/2 = 945.\r\n" );
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document.write( "Then  y = 990 - x = 990 - 945 = 45.\r\n" );
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document.write( "Answer.  The plane speed is 945 kilometers per hour and the wind speed is 45 kilometers per hour.\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
\n" ); document.write( "\n" ); document.write( "in this site, where you will find other similar solved problems with detailed explanations.\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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