document.write( "Question 348499: an airplane travels 800 miles against the wind in 5 hours, and makes the return trip with the same wind in 2 hours. Find the speed of the wind. \n" ); document.write( "

Algebra.Com's Answer #249129 by stanbon(75887) $\"\"$ $\"About$

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an airplane travels 800 miles against the wind in 5 hours, and makes the return trip with the same wind in 2 hours. Find the speed of the wind.
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\n" ); document.write( "Against wind DATA:
\n" ); document.write( "distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph
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\n" ); document.write( "With wind DATA:
\n" ); document.write( "distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph
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\n" ); document.write( "Equations:
\n" ); document.write( "p + w = 300
\n" ); document.write( "p - w = 120
\n" ); document.write( "---
\n" ); document.write( "2p = 420
\n" ); document.write( "p = 210 mph (speed of the plane in still air)
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\n" ); document.write( "Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
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