document.write( "Question 1169115: Las Cruces, NM is about 600 mi from Dallas, TX. One plane flies from Dallas to Las Cruces in 1 hr 12 min, and another plane with the same air speed flies from Las Cruces to Dallas in 1 hr 30 min.
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Algebra.Com's Answer #793764 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Las Cruces, NM is about 600 mi from Dallas, TX. One plane flies from Dallas to Las Cruces in 1 hr 12 min,
\n" ); document.write( "and another plane with the same air speed flies from Las Cruces to Dallas in 1 hr 30 min.
\n" ); document.write( "Find the air speed of the planes and the speed of the wind.
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document.write( "Let u be the plane speed at no wind. \r\n" );
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document.write( "Let v be the speed of the wind.\r\n" );
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document.write( "The effective speed of the plane with the wind is\r\n" );
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document.write( "    u + v =  = 500 mph.    (1)    (here    represents   of an hour, or 1 hr 12 min)\r\n" );
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document.write( "The effective speed of the plane against the wind is\r\n" );
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document.write( "    u - v =  = 400 mph.    (2)    (here    represents   of an hour, or 1 hr 30 min)\r\n" );
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document.write( "From equations (1) and (2), the speed of the plane at no wind is   = 450 mph.\r\n" );
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document.write( "Then from equation (1), the speed of the wind is  500-450 = 50 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
\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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