document.write( "Question 1079094: An airplane traveling with wind flies 450 miles in 2 hours. On the return trip the plane takes 3 hours to travel the same distance. Find the speed of the airplane if the wind is still \n" ); document.write( "

Algebra.Com's Answer #693465 by ikleyn(52790) $\"\"$ $\"About$

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document.write( " = u + v   (1)   is the equation for the effective speed of the plane flying with the wind.\r\n" );
document.write( " = u - v   (2)   is the equation for the effective speed of the plane flying against the wind.\r\n" );
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document.write( "Where u is the speed of the airplane at no wind, and v is the rate of the wind.\r\n" );
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document.write( "Or, equivalently,\r\n" );
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document.write( "u + v = 225,          (1')\r\n" );
document.write( "u - v = 150.          (2')\r\n" );
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document.write( "Add equations (1') and (2') (both sides). You will get\r\n" );
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document.write( "2u = 225 + 150 = 375.\r\n" );
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document.write( "Hence, u =  = 187.5 miles per hour.\r\n" );
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document.write( "Answer.  The speed of the plane at no wind is 187.5 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
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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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