document.write( "Question 1168919: A jet takes 5 hours to travel a distance of 3800 miles against the wind. The return trip takes 4 hours with the wind. What is the rate of the jet in still air and what is the rate of the wind? \n" ); document.write( "

Algebra.Com's Answer #793589 by ikleyn(52801) $\"\"$ $\"About$

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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 =  = 760 mph.    (1)\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 =  = 950 mph.    (2)\r\n" );
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document.write( "From equations (1) and (2), the speed of the plane at no wind is   = 855 mph.\r\n" );
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document.write( "Then from equation (1), the speed of the wind is  855-760 = 95 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( "\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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