document.write( "Question 1033091: A Boeing 747 flies 2420 miles with the wind. In the same amount of time it can travel 2140 miles against the wind. The cruising speed is 507mph. What is the speed of the wind? \n" ); document.write( "

Algebra.Com's Answer #647682 by ikleyn(52802) $\"\"$ $\"About$

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\n" ); document.write( "A Boeing 747 flies 2420 miles with the wind. In the same amount of time it can travel 2140 miles against the wind.
\n" ); document.write( "The cruising speed is 507mph. What is the speed of the wind?
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document.write( "Let w be the speed of the wind, in mph.\r\n" );
document.write( "Then the plane flies at the speed (507+w) mph with the wind, and\r\n" );
document.write( "                     at the speed (570-w) against the wind.\r\n" );
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document.write( "The plane spend  =  hours flying with the wind, and \r\n" );
document.write( "                 =  hours flying against the wind.\r\n" );
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document.write( "According to the condition,  = , which gives an equation\r\n" );
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document.write( " = .\r\n" );
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document.write( "Now solve it for w. First multiply both sides by the common denominator (507-w)*(507+w) and then simplify. You will get\r\n" );
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document.write( "2420*(507-w) = 2140*(507+w),\r\n" );
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document.write( "2420*507 - 2420w = 2140*507 + 2140w,\r\n" );
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document.write( "2420*507 - 2140*507 = 2140w + 2420w,\r\n" );
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document.write( "(2420-2140)*507 = 4560w,\r\n" );
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document.write( "w =  = 31.13.\r\n" );
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document.write( "Answer. The speed of the wind is 31.13 mph.\r\n" );
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