document.write( "Question 922036: A plane has a cruising speed of 150 miles per hour when there is no wind. At this speed, a plane flew 300 miles with the wind in the same amount of time it flew 200 miles against the wind. Find the speed of the wind. \n" ); document.write( "
Algebra.Com's Answer #559480 by KMST(5328)\"\" \"About 
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With a wind speed of \"x\" miles per hour,
\n" ); document.write( "a plane with a cruising speed of 150 miles per hour
\n" ); document.write( "travels with the wind at a speed of \"150%2Bx\" miles per hour with respect to the ground,
\n" ); document.write( "while against the wind it travels at a speed of \"150-x\" miles per hour with respect to the ground.\r
\n" ); document.write( "\n" ); document.write( "In a period of time of \"t\" hours, the plane will flew
\n" ); document.write( "\"t%28150%2Bx%29=300\" miles with the wind, and
\n" ); document.write( "\"t%28150-x%29=200\" miles against the wind.
\n" ); document.write( "So,
\n" ); document.write( "\"t%28150%2Bx%29%2F%28t%28150-x%29%29=300%2F200\"--->\"%28150%2Bx%29%2F%28150-x%29=3%2F2\"--->\"2%28150%2Bx%29=3%28150-x%29\"--->\"300%2B2x=450-3x%29\"--->\"2x%2B3x=450-300%29\"--->\"5x=150%29\"--->\"x=150%2F5%29\"--->\"highlight%28x=30%29\"
\n" ); document.write( "The speed of the wind was 30 miles per hour.
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