document.write( "Question 377830: Toga flew her ultralight plane to a landing field 24 miles away. With the wind, the flight took 2/5 of an hour. Returning against the wind, the flight took 3/4 of an hour. Find the rate of the plane in still air and the rate of the wind. \n" ); document.write( "

Algebra.Com's Answer #268471 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"w\"$ = the wind speed
\n" ); document.write( "Let $\"s\"$ = the speed of the plane in still air
\n" ); document.write( "With the wind:
\n" ); document.write( "Speed = $\"24%2F.4+=+60\"$
\n" ); document.write( "Against the wind:
\n" ); document.write( "Speed = $\"24%2F.75+=+32\"$
\n" ); document.write( "--------------------
\n" ); document.write( " $\"s+%2B+w+=+60\"$
\n" ); document.write( " $\"s+-+w+=+32\"$
\n" ); document.write( "Add the equations
\n" ); document.write( " $\"2s+=+92\"$
\n" ); document.write( " $\"s+=+46\"$
\n" ); document.write( "and
\n" ); document.write( " $\"46+%2B+w+=+60\"$
\n" ); document.write( " $\"w+=+14\"$
\n" ); document.write( "The plane's speed in still air is 46 mi/hr and
\n" ); document.write( "the wind speed is 14 mi/hr \n" ); document.write( "

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