document.write( "Question 124932: An airplane travels 750 miles against the wind in 7.5 hours, and makes the return trip with the same wind in 3 hours. Find the rate of the wind. (Make sure to answer the question.)((This is exactly how the problem reads.))
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Algebra.Com's Answer #91569 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let wind speed = $\"w\"$
\n" ); document.write( "Let the speed of the plane in still air = $\"p\"$
\n" ); document.write( "With the wind, the combined speed is $\"p+%2B+w\"$
\n" ); document.write( "Against the wind, the combined speed is $\"p+-+w\"$
\n" ); document.write( " $\"d+=+r%2At\"$ is the general formula
\n" ); document.write( "The distance is the same, coming and going
\n" ); document.write( " $\"%28p+-+w%29%2At%5B1%5D+=+%28p+%2B+w%29%2At%5B2%5D\"$
\n" ); document.write( " $\"t%5B1%5D+=+7.5\"$ hrs
\n" ); document.write( " $\"t%5B2%5D+=+3\"$ hrs
\n" ); document.write( " $\"%28p+-+w%29%2A7.5+=+%28p+%2B+w%29%2A3\"$
\n" ); document.write( " $\"7.5p+-+7.5w+=+3p+%2B+3w\"$
\n" ); document.write( " $\"4.5p+=+10.5w\"$
\n" ); document.write( " $\"p+=+%287%2F3%29w\"$
\n" ); document.write( "Also given is the distance, 750 mi
\n" ); document.write( " $\"%28p+%2B+w%29%2A3+=+750\"$
\n" ); document.write( " $\"%28%287%2F3%29w+%2B+w%29%2A3+=+750\"$
\n" ); document.write( " $\"%2810%2F3%29w%2A3+=+750\"$
\n" ); document.write( " $\"10w+=+750\"$
\n" ); document.write( " $\"w+=+75\"$ mi / hr answer
\n" ); document.write( "Check answer
\n" ); document.write( " $\"p+=+%287%2F3%29w\"$
\n" ); document.write( " $\"p+=+%287%2F3%29%2A75\"$
\n" ); document.write( " $\"p+=+175\"$
\n" ); document.write( " $\"%28p+-+w%29%2A7.5+=+%28p+%2B+w%29%2A3\"$
\n" ); document.write( " $\"%28175+-+75%29%2A7.5+=+%28175+%2B+75%29%2A3\"$
\n" ); document.write( " $\"750+=+250%2A3\"$
\n" ); document.write( " $\"750+=+750\"$
\n" ); document.write( "OK \n" ); document.write( "

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