document.write( "Question 1165883: A European Swallow flies into the wind from the castle of Uther Penn Dragon to Camelot while carrying a coconut. He flies 28 miles to Camelot in 2 hours, delivers the coconut and retrieves an identical coconut to carry back to the castle. He travels back the same distance (now with a tail wind) in 1.5 hours. What is the air speed of the laden swallow? What is the velocity of the wind?\r
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Algebra.Com's Answer #790357 by ikleyn(52787)\"\" \"About 
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document.write( "The effective rate flying against the wind is  \"28%2F2\" = 14 miles per hour.\r\n" );
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document.write( "It is the difference of the groundspeed and the speed of the wind.\r\n" );
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document.write( "The effective rate flying back (with the wind) is  \"28%2F1.5\" = 18 \"2%2F3\" miles per hour.\r\n" );
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document.write( "It is the sum of the groundspeed and the speed of the wind.\r\n" );
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document.write( "Therefore, the groundspeed is half the sum of these values, which is \r\n" );
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document.write( "\"%281%2F2%29\"*(18 \"2%2F3\" + 14) = 16 \"1%2F3\" mph.\r\n" );
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document.write( "The speed of the wind is half the difference of these values, which is \r\n" );
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document.write( "\"%281%2F2%29\"*(18 \"2%2F3\" - 14) = 2 \"1%2F3\" 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
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\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( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\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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