document.write( "Question 521875: Flying with the wind, an airplane can travel 1080 miles in 6 hours, but flying against the wind it goes only 1/3 the distance in half the time. Find the speed of the plane in still air and the wind speed. \n" ); document.write( "
Algebra.Com's Answer #346605 by stanbon(75887)\"\" \"About 
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Flying with the wind, an airplane can travel 1080 miles in 6 hours, but flying against the wind it goes only 1/3 the distance in half the time. Find the speed of the plane in still air and the wind speed.
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\n" ); document.write( "With-wind: rate = distance/time = 1080/6 = 180 mph
\n" ); document.write( "Against-wind: rate = distance/time = 360/3 = 120 mph
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\n" ); document.write( "Equations:
\n" ); document.write( "p + w = 180
\n" ); document.write( "p - w = 120
\n" ); document.write( "----
\n" ); document.write( "Add and solve for \"p\":
\n" ); document.write( "2p = 300
\n" ); document.write( "p = 150 (speed of the plane with no wind)
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\n" ); document.write( "Solve for \"w\":
\n" ); document.write( "p + w = 180
\n" ); document.write( "150 + w = 180
\n" ); document.write( "w = 30 mph (speed of the wind)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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