document.write( "Question 1197567: An airplane averages 150 mph. If a trip from Atlanta to Charleston takes 2 hours 48 minutes going against the wind, and 2 hours on on the return flight going with the wind, what is the speed of the wind \n" ); document.write( "
Algebra.Com's Answer #830905 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Here is a very unorthodox solution method -- in case you are interested in looking at alternatives.

\n" ); document.write( "Let x be the speed of the wind; then the plane's speeds are 150+x with the wind and 150-x against the wind.

\n" ); document.write( "The distances are the same, so the ratio of speeds is the reciprocal of the ratio of the times. The ratio of the two times in minutes is 168/120 = 7/5. So

\n" ); document.write( "\"%28150%2Bx%29%2F%28150-x%29=7%2F5\"
\n" ); document.write( "\"5%28150%2Bx%29=7%28150-x%29\"
\n" ); document.write( "\"750%2B5x=1050-7x\"
\n" ); document.write( "\"12x=300\"
\n" ); document.write( "\"x=25\"

\n" ); document.write( "ANSWER: The wind speed is 25mph

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