document.write( "Question 242477: at maximum speed airplan travel 2460 miles against the wind in 6 hours flying with the wind the plan can travel the same distance in 5 hours \n" ); document.write( "

Algebra.Com's Answer #177494 by stanbon(75887) $\"\"$ $\"About$

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at maximum speed an airplane can travel 2460 miles against the wind in 6 hours flying with the wind the plane can travel the same distance in 5 hours
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\n" ); document.write( "Against the wind DATA:
\n" ); document.write( "distance = 2460 miles ; time = 6 hrs. ; rate = 2460/6 = 410 mph
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\n" ); document.write( "With the wind DATA:
\n" ); document.write( "distance = 2460 miles ; time = 5 hrs. ; rate = 492 mph
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\n" ); document.write( "Equations:
\n" ); document.write( "p + w = 492
\n" ); document.write( "p - w = 410
\n" ); document.write( "---------------------
\n" ); document.write( "Add:
\n" ); document.write( "2p = 902
\n" ); document.write( "p = 451 mph (speed of the plane in still air)
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\n" ); document.write( "Substitute into p+w = 492 to solve for \"w\":
\n" ); document.write( "451+w = 492
\n" ); document.write( "w = 41 mph (speed of the wind)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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