document.write( "Question 278256: When flying with the wind from A to B, it takes a plane 6 hours. Whenn flying against the wind from B to A, it takes the plane 8 hours. It is 500 miles from A to B. How fast is the plane in still air, and how fast is the wind? \n" ); document.write( "
Algebra.Com's Answer #202499 by stanbon(75887)\"\" \"About 
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When flying with the wind from A to B, it takes a plane 6 hours. When flying against the wind from B to A, it takes the plane 8 hours. It is 500 miles from A to B. How fast is the plane in still air, and how fast is the wind?
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\n" ); document.write( "With wind DATA:
\n" ); document.write( "time = 6 hrs ; distance = 500 ; rate = d/t = 500/6 = 83.33 mph
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\n" ); document.write( "Against wind DATA:
\n" ); document.write( "time = 8 hrs ; distance = 500 ; rate = d/t = 500/8 = 62.5mph
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\n" ); document.write( "Equations:
\n" ); document.write( "rate = rate
\n" ); document.write( "p+w = 83.33
\n" ); document.write( "p-w = 62.5
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\n" ); document.write( "2p = 145.83
\n" ); document.write( "p = 72.92 (plane speed in still air)
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\n" ); document.write( "Substitute into p+w = 83.33 to solve for w = 83.33-72.92 = 10.41 mph
\n" ); document.write( "(wind speed)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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