document.write( "Question 969855: A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind. \n" ); document.write( "

Algebra.Com's Answer #592586 by lwsshak3(11628) $\"\"$ $\"About$

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A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.
\n" ); document.write( "***
\n" ); document.write( "let c=speed of the wind
\n" ); document.write( "300+c=speed of plane with the wind
\n" ); document.write( "300-c=speed of plane against the wind
\n" ); document.write( "travel time=distance/speed (same for both directions of travel)
\n" ); document.write( "..
\n" ); document.write( " $\"600%2F%28300%2Bc%29=400%2F%28300-c%29\"$
\n" ); document.write( "400(300+c)=600(300-c)
\n" ); document.write( "120000+400c=180000-600c
\n" ); document.write( "1000c=60000
\n" ); document.write( "c=60
\n" ); document.write( "speed of the wind=60 mph \n" ); document.write( "

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